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102011001001002 = 23217219609957901
BaseRepresentation
bin10111001100011101001001…
…011110100101010000101010
3111101012011020001111010121100
4113030131021132211100222
5101332322012224013002
61000543112405222230
730326023462462452
oct2714351136452052
9441164201433540
10102011001001002
112a55a693709925
12b5364b9a01976
1344bc799895462
141b29504752d62
15bbd81848811c
hex5cc7497a542a

102011001001002 has 36 divisors (see below), whose sum is σ = 234790025960646. Its totient is φ = 32003451292800.

The previous prime is 102011001000991. The next prime is 102011001001043. The reversal of 102011001001002 is 200100100110201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 97696203771321 + 4314797229681 = 9884139^2 + 2077209^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9804973749 + ... + 9804984152.

Almost surely, 2102011001001002 is an apocalyptic number.

102011001001002 is an abundant number, since it is smaller than the sum of its proper divisors (132779024959644).

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

102011001001002 is a wasteful number, since it uses less digits than its factorization.

102011001001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19609957943 (or 19609957923 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102011001001002 its reverse (200100100110201), we get a palindrome (302111101111203).

The spelling of 102011001001002 in words is "one hundred two trillion, eleven billion, one million, one thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 19609957901 39219915802 58829873703 117659747406 176489621109 333369284317 352979242218 666738568634 1000107852951 2000215705902 3000323558853 5667277833389 6000647117706 11334555666778 17001833500167 34003667000334 51005500500501 102011001001002