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129021312 = 273726857
BaseRepresentation
bin1111011000010…
…11010110000000
322222202221222010
413230023112000
5231012140222
620445212520
73124443300
oct754132600
9288687863
10129021312
1166913692
1237261140
1320965194
14131c7600
15b4d880c
hex7b0b580

129021312 has 96 divisors (see below), whose sum is σ = 398724120. Its totient is φ = 36857856.

The previous prime is 129021293. The next prime is 129021317. The reversal of 129021312 is 213120921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129021317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15388 + ... + 22244.

Almost surely, 2129021312 is an apocalyptic number.

129021312 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 129021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199362060).

129021312 is an abundant number, since it is smaller than the sum of its proper divisors (269702808).

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

129021312 is an equidigital number, since it uses as much as digits as its factorization.

129021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 129021312 is about 11358.7548613393. The cubic root of 129021312 is about 505.3052586995.

The spelling of 129021312 in words is "one hundred twenty-nine million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 6857 9408 13714 18816 20571 27428 41142 47999 54856 82284 95998 109712 143997 164568 191996 219424 287994 329136 335993 383992 438848 575988 658272 671986 767984 877696 1007979 1151976 1316544 1343972 1535968 2015958 2303952 2633088 2687944 3071936 4031916 4607904 5375888 6143872 8063832 9215808 10751776 16127664 18431616 21503552 32255328 43007104 64510656 129021312