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122013000432 = 2433282437501
BaseRepresentation
bin111000110100010001…
…0101010001011110000
3102122221021222121222000
41301220202222023300
53444340312003212
6132015122014000
711546411251221
oct1615042521360
9378837877860
10122013000432
1147822181144
121b791aa7300
13b676263b9b
145c96827248
153291a851dc
hex1c688aa2f0

122013000432 has 40 divisors (see below), whose sum is σ = 350222502480. Its totient is φ = 40671000000.

The previous prime is 122013000413. The next prime is 122013000467. The reversal of 122013000432 is 234000310221.

122013000432 is a `hidden beast` number, since 1 + 2 + 201 + 30 + 0 + 0 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141218319 + ... + 141219182.

It is an arithmetic number, because the mean of its divisors is an integer number (8755562562).

Almost surely, 2122013000432 is an apocalyptic number.

122013000432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122013000432 is an abundant number, since it is smaller than the sum of its proper divisors (228209502048).

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

122013000432 is a wasteful number, since it uses less digits than its factorization.

122013000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282437518 (or 282437506 counting only the distinct ones).

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

Adding to 122013000432 its reverse (234000310221), we get a palindrome (356013310653).

The spelling of 122013000432 in words is "one hundred twenty-two billion, thirteen million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 282437501 564875002 847312503 1129750004 1694625006 2259500008 2541937509 3389250012 4519000016 5083875018 6778500024 7625812527 10167750036 13557000048 15251625054 20335500072 30503250108 40671000144 61006500216 122013000432