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23023300100 = 2252292318831
BaseRepresentation
bin10101011100010010…
…111010111000000100
32012102112101211022112
4111130102322320010
5334122431100400
614324325120152
71443352551623
oct253422727004
965375354275
1023023300100
119845064149
124566559058
13222bb596c8
141185a356ba
158eb3b3835
hex55c4bae04

23023300100 has 108 divisors (see below), whose sum is σ = 53417914368. Its totient is φ = 8603952000.

The previous prime is 23023300057. The next prime is 23023300109. The reversal of 23023300100 is 100332032.

It is not an unprimeable number, because it can be changed into a prime (23023300109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2602685 + ... + 2611515.

Almost surely, 223023300100 is an apocalyptic number.

23023300100 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 23023300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26708957184).

23023300100 is an abundant number, since it is smaller than the sum of its proper divisors (30394614268).

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

23023300100 is a wasteful number, since it uses less digits than its factorization.

23023300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 23023300100 its reverse (100332032), we get a palindrome (23123632132).

The spelling of 23023300100 in words is "twenty-three billion, twenty-three million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 155 290 310 580 620 725 775 841 899 1450 1550 1682 1798 2900 3100 3364 3596 4205 4495 8410 8831 8990 16820 17662 17980 21025 22475 26071 35324 42050 44155 44950 52142 84100 88310 89900 104284 130355 176620 220775 256099 260710 273761 441550 512198 521420 547522 651775 883100 1024396 1095044 1280495 1303550 1368805 2560990 2607100 2737610 5121980 5475220 6402475 6844025 7426871 7939069 12804950 13688050 14853742 15878138 25609900 27376100 29707484 31756276 37134355 39695345 74268710 79390690 148537420 158781380 185671775 198476725 230233001 371343550 396953450 460466002 742687100 793906900 920932004 1151165005 2302330010 4604660020 5755825025 11511650050 23023300100