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123021132 = 223132971383
BaseRepresentation
bin1110101010100…
…10011101001100
322120111010021020
413111102131030
5222443134012
620112434140
73022443123
oct725223514
9276433236
10123021132
1163495663
1235248950
131c644090
14124a4aba
15ac00a8c
hex755274c

123021132 has 96 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 35938560.

The previous prime is 123021127. The next prime is 123021139. The reversal of 123021132 is 231120321.

It is a super-2 number, since 2×1230211322 = 30268397837122848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123021139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321013 + ... + 321395.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2123021132 is an apocalyptic number.

123021132 is a gapful number since it is divisible by the number (12) 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 123021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

123021132 is an abundant number, since it is smaller than the sum of its proper divisors (202119348).

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

123021132 is a wasteful number, since it uses less digits than its factorization.

123021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123021132 is about 11091.4891696291. The cubic root of 123021132 is about 497.3474623051.

Adding to 123021132 its reverse (231120321), we get a palindrome (354141453).

The spelling of 123021132 in words is "one hundred twenty-three million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 71 78 87 116 142 156 174 213 284 348 377 383 426 754 766 852 923 1131 1149 1508 1532 1846 2059 2262 2298 2769 3692 4118 4524 4596 4979 5538 6177 8236 9958 11076 11107 12354 14937 19916 22214 24708 26767 27193 29874 33321 44428 53534 54386 59748 66642 80301 81579 107068 108772 133284 144391 160602 163158 288782 321204 326316 353509 433173 577564 707018 788597 866346 1060527 1414036 1577194 1732692 2121054 2365791 3154388 4242108 4731582 9463164 10251761 20503522 30755283 41007044 61510566 123021132