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10102031004024 = 2332349487825509
BaseRepresentation
bin1001001100000000111111…
…1110000011000101111000
31022202202002220120021211100
42103000033332003011320
52311002424414112044
633252450423331400
72061563513514321
oct223001776030570
938682086507740
1010102031004024
11324527a162543
121171a118b0b60
1358380467929b
1426cd25bd9448
15127b9c616869
hex9300ff83178

10102031004024 has 96 divisors (see below), whose sum is σ = 27494436060000. Its totient is φ = 3350796408576.

The previous prime is 10102031004019. The next prime is 10102031004029. The reversal of 10102031004024 is 42040013020101.

It is an interprime number because it is at equal distance from previous prime (10102031004019) and next prime (10102031004029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10102031003988 and 10102031004006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102031004029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11824582 + ... + 12650090.

It is an arithmetic number, because the mean of its divisors is an integer number (286400375625).

Almost surely, 210102031004024 is an apocalyptic number.

It is an amenable number.

10102031004024 is an abundant number, since it is smaller than the sum of its proper divisors (17392405055976).

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

10102031004024 is a wasteful number, since it uses less digits than its factorization.

10102031004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826357 (or 826350 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10102031004024 its reverse (42040013020101), we get a palindrome (52142044024125).

The spelling of 10102031004024 in words is "ten trillion, one hundred two billion, thirty-one million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 349 487 698 974 1047 1396 1461 1948 2094 2792 2922 3141 3896 4188 4383 5844 6282 8376 8766 11688 12564 17532 25128 35064 169963 339926 509889 679852 825509 1019778 1359704 1529667 1651018 2039556 2476527 3059334 3302036 4079112 4953054 6118668 6604072 7429581 9906108 12237336 14859162 19812216 29718324 59436648 288102641 402022883 576205282 804045766 864307923 1152410564 1206068649 1608091532 1728615846 2304821128 2412137298 2592923769 3216183064 3457231692 3618205947 4824274596 5185847538 6914463384 7236411894 9648549192 10371695076 14472823788 20743390152 28945647576 140305986167 280611972334 420917958501 561223944668 841835917002 1122447889336 1262753875503 1683671834004 2525507751006 3367343668008 5051015502012 10102031004024