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101400124303023 = 371321115137116293
BaseRepresentation
bin10111000011100100001110…
…011000111010011010101111
3111022000202110000012120110020
4113003210032120322122233
5101242314423310144043
6555354323553413223
730233626415304630
oct2703441630723257
9438022400176406
10101400124303023
112a344607745137
12b45803456a213
134476cb57224b0
141b07b13b37887
15bac9b37d4e83
hex5c390e63a6af

101400124303023 has 64 divisors (see below), whose sum is σ = 167201313334272. Its totient is φ = 53228318330880.

The previous prime is 101400124303007. The next prime is 101400124303031. The reversal of 101400124303023 is 320303421004101.

It is a happy number.

It is not a de Polignac number, because 101400124303023 - 24 = 101400124303007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101400124302984 and 101400124303002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400124303043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 871878465 + ... + 871994757.

It is an arithmetic number, because the mean of its divisors is an integer number (2612520520848).

Almost surely, 2101400124303023 is an apocalyptic number.

101400124303023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101400124303023 is a deficient number, since it is larger than the sum of its proper divisors (65801189031249).

101400124303023 is a wasteful number, since it uses less digits than its factorization.

101400124303023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131664.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101400124303023 its reverse (320303421004101), we get a palindrome (421703545307124).

The spelling of 101400124303023 in words is "one hundred one trillion, four hundred billion, one hundred twenty-four million, three hundred three thousand, twenty-three".

Divisors: 1 3 7 13 21 39 91 211 273 633 1477 2743 4431 8229 15137 19201 45411 57603 105959 116293 196781 317877 348879 590343 814051 1377467 1511809 2442153 3193907 4132401 4535427 9581721 10582663 22357349 24537823 31747989 41520791 67072047 73613469 124562373 171764761 290645537 318991699 515294283 871936611 956975097 1760327141 2232941893 5280981423 6698825679 12322289987 22884252833 36966869961 68652758499 160189769831 371429026751 480569309493 1114287080253 2600003187257 4828577347763 7800009561771 14485732043289 33800041434341 101400124303023