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101229696 = 2733171723
BaseRepresentation
bin1100000100010…
…10010010000000
321001111000001000
412002022102000
5201403322241
614013412000
72336303211
oct602122200
9231430030
10101229696
1152161407
1229a9a000
1317c84439
14d631408
158d48eb6
hex608a480

101229696 has 128 divisors (see below), whose sum is σ = 316526400. Its totient is φ = 31739904.

The previous prime is 101229641. The next prime is 101229703. The reversal of 101229696 is 696922101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101229696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57891 + ... + 59613.

Almost surely, 2101229696 is an apocalyptic number.

101229696 is a gapful number since it is divisible by the number (16) 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 101229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158263200).

101229696 is an abundant number, since it is smaller than the sum of its proper divisors (215296704).

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

101229696 is a wasteful number, since it uses less digits than its factorization.

101229696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 101229696 is about 10061.2969342923. The cubic root of 101229696 is about 466.0537186257.

The spelling of 101229696 in words is "one hundred one million, two hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1723 1728 1836 2176 2448 3264 3446 3456 3672 4896 5169 6528 6892 7344 9792 10338 13784 14688 15507 19584 20676 27568 29291 29376 31014 41352 46521 55136 58582 58752 62028 82704 87873 93042 110272 117164 124056 165408 175746 186084 220544 234328 248112 263619 330816 351492 372168 468656 496224 527238 661632 702984 744336 790857 937312 992448 1054476 1405968 1488672 1581714 1874624 1984896 2108952 2811936 2977344 3163428 3749248 4217904 5623872 5954688 6326856 8435808 11247744 12653712 16871616 25307424 33743232 50614848 101229696