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23123212002 = 232111929211949
BaseRepresentation
bin10101100010010000…
…000011011011100010
32012200111101212200100
4111202100003123202
5334324020241002
614342254403230
71446005026152
oct254220033342
965614355610
1023123212002
1198964a5470
124593b00516
13224676c087
141195002762
1590504c11c
hex5624036e2

23123212002 has 96 divisors (see below), whose sum is σ = 59515560000. Its totient is φ = 6409307520.

The previous prime is 23123211971. The next prime is 23123212043. The reversal of 23123212002 is 20021232132.

23123212002 is a `hidden beast` number, since 231 + 232 + 1 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3124 + ... + 215072.

It is an arithmetic number, because the mean of its divisors is an integer number (619953750).

Almost surely, 223123212002 is an apocalyptic number.

23123212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23123212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29757780000).

23123212002 is an abundant number, since it is smaller than the sum of its proper divisors (36392347998).

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

23123212002 is a wasteful number, since it uses less digits than its factorization.

23123212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212016 (or 212013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23123212002 its reverse (20021232132), we get a palindrome (43144444134).

The spelling of 23123212002 in words is "twenty-three billion, one hundred twenty-three million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 19 22 29 33 38 57 58 66 87 99 114 171 174 198 209 261 319 342 418 522 551 627 638 957 1102 1254 1653 1881 1914 2871 3306 3762 4959 5742 6061 9918 12122 18183 36366 54549 109098 211949 423898 635847 1271694 1907541 2331439 3815082 4027031 4662878 6146521 6994317 8054062 12081093 12293042 13988634 18439563 20982951 24162186 36243279 36879126 41965902 44297341 55318689 67611731 72486558 88594682 110637378 116783899 132892023 135223462 202835193 233567798 265784046 350351697 398676069 405670386 608505579 700703394 797352138 1051055091 1217011158 1284622889 2102110182 2569245778 3853868667 7707737334 11561606001 23123212002