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101109324096 = 26321115957911
BaseRepresentation
bin101111000101010010…
…1011101100101000000
3100122222111000211211100
41132022211131211000
53124032441332341
6114240551414400
710206404034354
oct1361245354500
9318874024740
10101109324096
1139975639780
1217719384400
1396c45a6431
144c72509464
15296b8133b6
hex178a95d940

101109324096 has 84 divisors (see below), whose sum is σ = 316158152544. Its totient is φ = 30639187200.

The previous prime is 101109324053. The next prime is 101109324139. The reversal of 101109324096 is 690423901101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101109324053) and next prime (101109324139).

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 101109324096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7972620 + ... + 7985291.

Almost surely, 2101109324096 is an apocalyptic number.

101109324096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101109324096 is an abundant number, since it is smaller than the sum of its proper divisors (215048828448).

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

101109324096 is a wasteful number, since it uses less digits than its factorization.

101109324096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957940 (or 15957927 counting only the distinct ones).

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

The spelling of 101109324096 in words is "one hundred one billion, one hundred nine million, three hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 15957911 31915822 47873733 63831644 95747466 127663288 143621199 175537021 191494932 255326576 287242398 351074042 382989864 510653152 526611063 574484796 702148084 765979728 1021306304 1053222126 1148969592 1404296168 1531959456 1579833189 2106444252 2297939184 2808592336 3063918912 3159666378 4212888504 4595878368 5617184672 6319332756 8425777008 9191756736 11234369344 12638665512 16851554016 25277331024 33703108032 50554662048 101109324096