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103034311136240 = 245112929423137219
BaseRepresentation
bin10111011011010110001011…
…100000111101001111110000
3111111210222120022001010020112
4113123112023200331033300
5102001103232122324430
61003045150433000452
730462661165222451
oct2733261340751760
9444728508033215
10103034311136240
112a9146735a03a0
12b6808a63b3128
13456512b259213
141b62c5c939128
15bda25b371195
hex5db58b83d3f0

103034311136240 has 160 divisors (see below), whose sum is σ = 270355103308800. Its totient is φ = 36173562844160.

The previous prime is 103034311136233. The next prime is 103034311136257. The reversal of 103034311136240 is 42631113430301.

It is a junction number, because it is equal to n+sod(n) for n = 103034311136197 and 103034311136206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750806351 + ... + 750943569.

It is an arithmetic number, because the mean of its divisors is an integer number (1689719395680).

Almost surely, 2103034311136240 is an apocalyptic number.

103034311136240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103034311136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135177551654400).

103034311136240 is an abundant number, since it is smaller than the sum of its proper divisors (167320792172560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103034311136240 is a wasteful number, since it uses less digits than its factorization.

103034311136240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166695 (or 166689 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 103034311136240 its reverse (42631113430301), we get a palindrome (145665424566541).

The spelling of 103034311136240 in words is "one hundred three trillion, thirty-four billion, three hundred eleven million, one hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 29423 58846 117692 137219 147115 235384 274438 294230 323653 470768 548876 588460 647306 686095 853267 1097752 1176920 1294612 1372190 1509409 1618265 1706534 2195504 2353840 2589224 2744380 3018818 3236530 3413068 3979351 4266335 5178448 5488760 6037636 6473060 6826136 7547045 7958702 8532670 9385937 10977520 12075272 12946120 13652272 15094090 15917404 17065340 18771874 19896755 24150544 25892240 30188180 31834808 34130680 37543748 39793510 43772861 46929685 60376360 63669616 68261360 75087496 79587020 87545722 93859370 120752720 150174992 159174040 175091444 187718740 218864305 318348080 350182888 375437480 437728610 700365776 750874960 875457220 1750914440 3501828880 4037394637 8074789274 16149578548 20186973185 32299157096 40373946370 44411341007 64598314192 80747892740 88822682014 117084444473 161495785480 177645364028 222056705035 234168888946 322991570960 355290728056 444113410070 468337777892 585422222365 710581456112 888226820140 936675555784 1170844444730 1287928889203 1776453640280 1873351111568 2341688889460 2575857778406 3552907280560 4683377778920 5151715556812 6439644446015 9366755557840 10303431113624 12879288892030 20606862227248 25758577784060 51517155568120 103034311136240