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10322103122320 = 2451115774711227
BaseRepresentation
bin1001011000110100110101…
…0010100011100110010000
31100112210011010002020021111
42112031031102203212100
52323104131344403240
633541524140503104
72113514223613543
oct226151522434620
940483133066244
1010322103122320
11331a641130260
1211a85ab54aa94
1359b4a72a3b22
142798419b685a
1512d77cd001ea
hex9634d4a3990

10322103122320 has 80 divisors (see below), whose sum is σ = 26347362821568. Its totient is φ = 3729584401920.

The previous prime is 10322103122281. The next prime is 10322103122329. The reversal of 10322103122320 is 2322130122301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10322103122291 and 10322103122300.

It is not an unprimeable number, because it can be changed into a prime (10322103122329) by changing a digit.

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, 37217454 + ... + 37493773.

Almost surely, 210322103122320 is an apocalyptic number.

10322103122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322103122320 is an abundant number, since it is smaller than the sum of its proper divisors (16025259699248).

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

10322103122320 is a wasteful number, since it uses less digits than its factorization.

10322103122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74711408 (or 74711402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10322103122320 its reverse (2322130122301), we get a palindrome (12644233244621).

The spelling of 10322103122320 in words is "ten trillion, three hundred twenty-two billion, one hundred three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 157 176 220 314 440 628 785 880 1256 1570 1727 2512 3140 3454 6280 6908 8635 12560 13816 17270 27632 34540 69080 138160 74711227 149422454 298844908 373556135 597689816 747112270 821823497 1195379632 1494224540 1643646994 2988449080 3287293988 4109117485 5976898160 6574587976 8218234970 11729662639 13149175952 16436469940 23459325278 32872939880 46918650556 58648313195 65745879760 93837301112 117296626390 129026289029 187674602224 234593252780 258052578058 469186505560 516105156116 645131445145 938373011120 1032210312232 1290262890290 2064420624464 2580525780580 5161051561160 10322103122320