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103298054640 = 243511211185441
BaseRepresentation
bin110000000110100001…
…0110011100111110000
3100212122000111212200120
41200031002303213300
53143023300222030
6115242055450240
710314551656104
oct1401502634760
9325560455616
10103298054640
113a8990713a0
121802a386980
139982b90471
144ddd091904
152a48a56010
hex180d0b39f0

103298054640 has 160 divisors (see below), whose sum is σ = 350992749312. Its totient is φ = 24923136000.

The previous prime is 103298054617. The next prime is 103298054681. The reversal of 103298054640 is 46450892301.

103298054640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103298054592 and 103298054601.

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, 464320 + ... + 649760.

Almost surely, 2103298054640 is an apocalyptic number.

103298054640 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 103298054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175496374656).

103298054640 is an abundant number, since it is smaller than the sum of its proper divisors (247694694672).

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

103298054640 is a wasteful number, since it uses less digits than its factorization.

103298054640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185679 (or 185673 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 103298054640 in words is "one hundred three billion, two hundred ninety-eight million, fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 211 220 240 264 330 422 440 528 633 660 844 880 1055 1266 1320 1688 2110 2321 2532 2640 3165 3376 4220 4642 5064 6330 6963 8440 9284 10128 11605 12660 13926 16880 18568 23210 25320 27852 34815 37136 46420 50640 55704 69630 92840 111408 139260 185441 185680 278520 370882 556323 557040 741764 927205 1112646 1483528 1854410 2039851 2225292 2781615 2967056 3708820 4079702 4450584 5563230 6119553 7417640 8159404 8901168 10199255 11126460 12239106 14835280 16318808 20398510 22252920 24478212 30597765 32637616 39128051 40797020 44505840 48956424 61195530 78256102 81594040 97912848 117384153 122391060 156512204 163188080 195640255 234768306 244782120 313024408 391280510 430408561 469536612 489564240 586920765 626048816 782561020 860817122 939073224 1173841530 1291225683 1565122040 1721634244 1878146448 2152042805 2347683060 2582451366 3130244080 3443268488 4304085610 4695366120 5164902732 6456128415 6886536976 8608171220 9390732240 10329805464 12912256830 17216342440 20659610928 25824513660 34432684880 51649027320 103298054640