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129231312 = 24371931653
BaseRepresentation
bin1111011001111…
…10100111010000
3100000011122000220
413230332213100
5231040400222
620453513040
73126306450
oct754764720
9300148026
10129231312
1166a47441
1237342780
1320a09942
141323dd60
15b52ab5c
hex7b3e9d0

129231312 has 160 divisors (see below), whose sum is σ = 415211520. Its totient is φ = 33799680.

The previous prime is 129231287. The next prime is 129231313. The reversal of 129231312 is 213132921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129231313) 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, 197578 + ... + 198230.

It is an arithmetic number, because the mean of its divisors is an integer number (2595072).

Almost surely, 2129231312 is an apocalyptic number.

129231312 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 129231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207605760).

129231312 is an abundant number, since it is smaller than the sum of its proper divisors (285980208).

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

129231312 is a wasteful number, since it uses less digits than its factorization.

129231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 129231312 is about 11367.9950738906. The cubic root of 129231312 is about 505.5792614537.

The spelling of 129231312 in words is "one hundred twenty-nine million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 372 399 434 456 496 532 589 651 653 744 798 868 912 1064 1178 1302 1306 1488 1596 1736 1767 1959 2128 2356 2604 2612 3192 3472 3534 3918 4123 4571 4712 5208 5224 6384 7068 7836 8246 9142 9424 10416 10448 12369 12407 13713 14136 15672 16492 18284 20243 24738 24814 27426 28272 31344 32984 36568 37221 40486 49476 49628 54852 60729 65968 73136 74442 80972 86849 98952 99256 109704 121458 141701 148884 161944 173698 197904 198512 219408 242916 260547 283402 297768 323888 347396 384617 425103 485832 521094 566804 595536 694792 769234 850206 971664 1042188 1133608 1153851 1389584 1538468 1700412 2084376 2267216 2307702 2692319 3076936 3400824 4168752 4615404 5384638 6153872 6801648 8076957 9230808 10769276 16153914 18461616 21538552 32307828 43077104 64615656 129231312