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101100010120002 = 23237612488554377
BaseRepresentation
bin10110111111001100101110…
…001100001010001101000010
3111020222001210112102110001100
4112333030232030022031002
5101222410310042320002
6555004411541115230
730203143332656205
oct2677145614121502
9436861715373040
10101100010120002
112a23930104a503
12b409a389b8b16
1344548c805558a
141ad73a379193c
15ba4c9b0be11c
hex5bf32e30a342

101100010120002 has 48 divisors (see below), whose sum is σ = 228658330468152. Its totient is φ = 32251664712960.

The previous prime is 101100010119929. The next prime is 101100010120019. The reversal of 101100010120002 is 200021010001101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89864313943041 + 11235696176961 = 9479679^2 + 3351969^2 .

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 23 ways as a sum of consecutive naturals, for example, 1244236563 + ... + 1244317814.

Almost surely, 2101100010120002 is an apocalyptic number.

101100010120002 is an abundant number, since it is smaller than the sum of its proper divisors (127558320348150).

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

101100010120002 is a wasteful number, since it uses less digits than its factorization.

101100010120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488554483 (or 2488554480 counting only the distinct ones).

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

Adding to 101100010120002 its reverse (200021010001101), we get a palindrome (301121020121103).

The spelling of 101100010120002 in words is "one hundred one trillion, one hundred billion, ten million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 366 549 666 1098 2257 4514 6771 13542 20313 40626 2488554377 4977108754 7465663131 14931326262 22396989393 44793978786 92076511949 151801816997 184153023898 276229535847 303603633994 455405450991 552459071694 828688607541 910810901982 1366216352973 1657377215082 2732432705946 5616667228889 11233334457778 16850001686667 33700003373334 50550005060001 101100010120002