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101400122515023 = 3417314794959151
BaseRepresentation
bin10111000011100100001110…
…010010000101111001001111
3111022000202102212211201210000
4113003210032102011321033
5101242314422330440043
6555354323451215343
730233626364150043
oct2703441622057117
9438022385751700
10101400122515023
112a344606733852
12b458033a47553
134476cb52476c7
141b07b137d0023
15bac9b35802d3
hex5c390e485e4f

101400122515023 has 80 divisors (see below), whose sum is σ = 165903867740160. Its totient is φ = 61442678304000.

The previous prime is 101400122515019. The next prime is 101400122515033. The reversal of 101400122515023 is 320515221004101.

It is a happy number.

101400122515023 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 0 + 122 + 515 + 0 + 23 = 666.

It is not a de Polignac number, because 101400122515023 - 22 = 101400122515019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400122515033) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 17967498 + ... + 22926648.

It is an arithmetic number, because the mean of its divisors is an integer number (2073798346752).

Almost surely, 2101400122515023 is an apocalyptic number.

101400122515023 is a deficient number, since it is larger than the sum of its proper divisors (64503745225137).

101400122515023 is a wasteful number, since it uses less digits than its factorization.

101400122515023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959690 (or 4959681 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 101400122515023 its reverse (320515221004101), we get a palindrome (421915343519124).

The spelling of 101400122515023 in words is "one hundred one trillion, four hundred billion, one hundred twenty-two million, five hundred fifteen thousand, twenty-three".

Divisors: 1 3 9 17 27 31 51 81 93 153 279 459 479 527 837 1377 1437 1581 2511 4311 4743 8143 12933 14229 14849 24429 38799 42687 44547 73287 133641 219861 252433 400923 659583 757299 1202769 2271897 4959151 6815691 14877453 20447073 44632359 84305567 133897077 153733681 252916701 401691231 461201043 758750103 1383603129 2276250309 2375433329 2613472577 4150809387 6828750927 7126299987 7840417731 12452428161 21378899961 23521253193 40382366593 64136699883 70563759579 73638433199 121147099779 192410099649 211691278737 220915299597 363441299337 662745898791 1090323898011 1251853364383 1988237696373 3270971694033 3755560093149 5964713089119 11266680279447 33800040838341 101400122515023