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133232012232 = 233112367327493
BaseRepresentation
bin111110000010100111…
…1110010101111001000
3110201220011112110220120
41330011033302233020
54140324343342412
6141112252223240
712424420263354
oct1740517625710
9421804473816
10133232012232
1151559aa7820
12219a316ab20
13c7436711c7
14663c828464
1536eb986b8c
hex1f053f2bc8

133232012232 has 128 divisors (see below), whose sum is σ = 384818549760. Its totient is φ = 38041470720.

The previous prime is 133232012231. The next prime is 133232012233. The reversal of 133232012232 is 232210232331.

It is an interprime number because it is at equal distance from previous prime (133232012231) and next prime (133232012233).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133232012231) 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, 243078 + ... + 570570.

It is an arithmetic number, because the mean of its divisors is an integer number (3006394920).

Almost surely, 2133232012232 is an apocalyptic number.

133232012232 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 133232012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192409274880).

133232012232 is an abundant number, since it is smaller than the sum of its proper divisors (251586537528).

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

133232012232 is a wasteful number, since it uses less digits than its factorization.

133232012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327603 (or 327599 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133232012232 its reverse (232210232331), we get a palindrome (365442244563).

The spelling of 133232012232 in words is "one hundred thirty-three billion, two hundred thirty-two million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 67 69 88 92 132 134 138 184 201 253 264 268 276 402 506 536 552 737 759 804 1012 1474 1518 1541 1608 2024 2211 2948 3036 3082 4422 4623 5896 6072 6164 8844 9246 12328 16951 17688 18492 33902 36984 50853 67804 101706 135608 203412 327493 406824 654986 982479 1309972 1964958 2619944 3602423 3929916 7204846 7532339 7859832 10807269 14409692 15064678 21614538 21942031 22597017 28819384 30129356 43229076 43884062 45194034 60258712 65826093 82855729 86458152 87768124 90388068 131652186 165711458 175536248 180776136 241362341 248567187 263304372 331422916 482724682 497134374 504666713 526608744 662845832 724087023 965449364 994268748 1009333426 1448174046 1514000139 1930898728 1988537496 2018666852 2896348092 3028000278 4037333704 5551333843 5792696184 6056000556 11102667686 12112001112 16654001529 22205335372 33308003058 44410670744 66616006116 133232012232