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23032032100 = 225271123130051
BaseRepresentation
bin10101011100110100…
…001110101101100100
32012110010211110100221
4111130310032231210
5334132200011400
614325240214124
71443520020430
oct253464165544
965403743327
1023032032100
119849a88680
12456946a344
1322308c607c
141186c699c0
158ec03ac1a
hex55cd0eb64

23032032100 has 144 divisors (see below), whose sum is σ = 65021838336. Its totient is φ = 6866640000.

The previous prime is 23032032083. The next prime is 23032032103. The reversal of 23032032100 is 123023032.

It is not an unprimeable number, because it can be changed into a prime (23032032103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112075 + ... + 242125.

It is an arithmetic number, because the mean of its divisors is an integer number (451540544).

Almost surely, 223032032100 is an apocalyptic number.

23032032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23032032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32510919168).

23032032100 is an abundant number, since it is smaller than the sum of its proper divisors (41989806236).

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

23032032100 is a wasteful number, since it uses less digits than its factorization.

23032032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130106 (or 130099 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23032032100 its reverse (123023032), we get a palindrome (23155055132).

The spelling of 23032032100 in words is "twenty-three billion, thirty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 25 28 35 44 46 50 55 70 77 92 100 110 115 140 154 161 175 220 230 253 275 308 322 350 385 460 506 550 575 644 700 770 805 1012 1100 1150 1265 1540 1610 1771 1925 2300 2530 3220 3542 3850 4025 5060 6325 7084 7700 8050 8855 12650 16100 17710 25300 35420 44275 88550 130051 177100 260102 520204 650255 910357 1300510 1430561 1820714 2601020 2861122 2991173 3251275 3641428 4551785 5722244 5982346 6502550 7152805 9103570 10013927 11964692 13005100 14305610 14955865 18207140 20027854 20938211 22758925 28611220 29911730 32902903 35764025 40055708 41876422 45517850 50069635 59823460 65805806 71528050 74779325 83752844 91035700 100139270 104691055 131611612 143056100 149558650 164514515 200278540 209382110 230320321 250348175 299117300 329029030 418764220 460640642 500696350 523455275 658058060 822572575 921281284 1001392700 1046910550 1151601605 1645145150 2093821100 2303203210 3290290300 4606406420 5758008025 11516016050 23032032100