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23013100004124 = 223291091201505157
BaseRepresentation
bin1010011101110001001111…
…01001101010001100011100
310000111000211111200221102210
411032320213221222030130
511004021312100112444
6120540023332120420
74563433033333566
oct516704751521434
9100430744627383
1023013100004124
11737288a0027aa
1226b8114766110
13cac183b2ac69
14597ba8cb2336
1529d9546d27b9
hex14ee27a6a31c

23013100004124 has 96 divisors (see below), whose sum is σ = 56105272238400. Its totient is φ = 7332440371200.

The previous prime is 23013100004029. The next prime is 23013100004161. The reversal of 23013100004124 is 42140000131032.

It is a self number, because there is not a number n which added to its sum of digits gives 23013100004124.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 45303754 + ... + 45808910.

It is an arithmetic number, because the mean of its divisors is an integer number (584429919150).

Almost surely, 223013100004124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013100004124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28052636119200).

23013100004124 is an abundant number, since it is smaller than the sum of its proper divisors (33092172234276).

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

23013100004124 is a wasteful number, since it uses less digits than its factorization.

23013100004124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506503 (or 506501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23013100004124 its reverse (42140000131032), we get a palindrome (65153100135156).

The spelling of 23013100004124 in words is "twenty-three trillion, thirteen billion, one hundred million, four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 218 327 348 436 654 1201 1308 2402 3161 3603 4804 6322 7206 9483 12644 14412 18966 34829 37932 69658 104487 130909 139316 208974 261818 392727 417948 505157 523636 785454 1010314 1515471 1570908 2020628 3030942 3796361 6061884 7592722 11389083 14649553 15185444 22778166 29299106 43948659 45556332 55062113 58598212 87897318 110124226 165186339 175794636 220248452 330372678 606693557 660745356 1213387114 1596801277 1820080671 2426774228 3193602554 3640161342 4790403831 6387205108 7280322684 9580807662 17594113153 19161615324 35188226306 52782339459 66129597713 70376452612 105564678918 132259195426 198388793139 211129357836 264518390852 396777586278 793555172556 1917758333677 3835516667354 5753275001031 7671033334708 11506550002062 23013100004124