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101090230032 = 243111031858823
BaseRepresentation
bin101111000100101110…
…0100111111100010000
3100122221011002202200210
41132021130213330100
53124013044330112
6114235030244120
710206052530501
oct1361134477420
9318834082623
10101090230032
1139965888060
1217712ab6640
1396c064c47c
144c6db78ba8
152969ce0b3c
hex1789727f10

101090230032 has 80 divisors (see below), whose sum is σ = 287656731648. Its totient is φ = 30335975040.

The previous prime is 101090230013. The next prime is 101090230061. The reversal of 101090230032 is 230032090101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101090229990 and 101090230008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875028 + ... + 983795.

Almost surely, 2101090230032 is an apocalyptic number.

101090230032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101090230032 is an abundant number, since it is smaller than the sum of its proper divisors (186566501616).

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

101090230032 is a wasteful number, since it uses less digits than its factorization.

101090230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858948 (or 1858942 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The spelling of 101090230032 in words is "one hundred one billion, ninety million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 1133 1236 1648 2266 2472 3399 4532 4944 6798 9064 13596 18128 27192 54384 1858823 3717646 5576469 7435292 11152938 14870584 20447053 22305876 29741168 40894106 44611752 61341159 81788212 89223504 122682318 163576424 191458769 245364636 327152848 382917538 490729272 574376307 765835076 981458544 1148752614 1531670152 2106046459 2297505228 3063340304 4212092918 4595010456 6318139377 8424185836 9190020912 12636278754 16848371672 25272557508 33696743344 50545115016 101090230032