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103054205040 = 243514922312923
BaseRepresentation
bin101111111111010000…
…0100110000001110000
3100212000000200000220220
41133332200212001300
53142023334030130
6115201545133040
710305531201243
oct1377640460160
9325000600826
10103054205040
113a7834595a6
1217b8078a180
1399444c2367
144db893725a
152a32439410
hex17fe826070

103054205040 has 160 divisors (see below), whose sum is σ = 323079321600. Its totient is φ = 27172174848.

The previous prime is 103054205027. The next prime is 103054205041. The reversal of 103054205040 is 40502450301.

It is a super-2 number, since 2×1030542050402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103054205040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103054205041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7968019 + ... + 7980941.

It is an arithmetic number, because the mean of its divisors is an integer number (2019245760).

Almost surely, 2103054205040 is an apocalyptic number.

103054205040 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 103054205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161539660800).

103054205040 is an abundant number, since it is smaller than the sum of its proper divisors (220025116560).

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

103054205040 is a wasteful number, since it uses less digits than its factorization.

103054205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13311 (or 13305 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 103054205040 its reverse (40502450301), we get a palindrome (143556655341).

The spelling of 103054205040 in words is "one hundred three billion, fifty-four million, two hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 223 240 298 446 447 596 669 745 892 894 1115 1192 1338 1490 1784 1788 2230 2235 2384 2676 2980 3345 3568 3576 4460 4470 5352 5960 6690 7152 8920 8940 10704 11920 12923 13380 17840 17880 25846 26760 33227 35760 38769 51692 53520 64615 66454 77538 99681 103384 129230 132908 155076 166135 193845 199362 206768 258460 265816 310152 332270 387690 398724 498405 516920 531632 620304 664540 775380 797448 996810 1033840 1329080 1550760 1594896 1925527 1993620 2658160 2881829 3101520 3851054 3987240 5763658 5776581 7702108 7974480 8645487 9627635 11527316 11553162 14409145 15404216 17290974 19255270 23054632 23106324 28818290 28882905 30808432 34581948 38510540 43227435 46109264 46212648 57636580 57765810 69163896 77021080 86454870 92425296 115273160 115531620 138327792 154042160 172909740 230546320 231063240 345819480 429392521 462126480 691638960 858785042 1288177563 1717570084 2146962605 2576355126 3435140168 4293925210 5152710252 6440887815 6870280336 8587850420 10305420504 12881775630 17175700840 20610841008 25763551260 34351401680 51527102520 103054205040