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102011011002 = 23217353944389
BaseRepresentation
bin101111100000001010…
…1000111111110111010
3100202022022201021201200
41133000111013332322
53132404304323002
6114510241555030
710240633200225
oct1370025077672
9322268637650
10102011011002
113a29861346a
121792b345a76
139809340894
144d1a1845bc
1529c0a74b1c
hex17c0547fba

102011011002 has 48 divisors (see below), whose sum is σ = 234688470120. Its totient is φ = 31912759296.

The previous prime is 102011010961. The next prime is 102011011031. The reversal of 102011011002 is 200110110201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89268890841 + 12742120161 = 298779^2 + 112881^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364177 + ... + 580212.

Almost surely, 2102011011002 is an apocalyptic number.

102011011002 is an abundant number, since it is smaller than the sum of its proper divisors (132677459118).

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

102011011002 is a wasteful number, since it uses less digits than its factorization.

102011011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944767 (or 944764 counting only the distinct ones).

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

Adding to 102011011002 its reverse (200110110201), we get a palindrome (302121121203).

The spelling of 102011011002 in words is "one hundred two billion, eleven million, eleven thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 353 706 1059 2118 3177 6001 6354 12002 18003 36006 54009 108018 944389 1888778 2833167 5666334 8499501 16054613 16999002 32109226 48163839 96327678 144491517 288983034 333369317 666738634 1000107951 2000215902 3000323853 5667278389 6000647706 11334556778 17001835167 34003670334 51005505501 102011011002