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10322221320 = 2332543976521
BaseRepresentation
bin10011001110100000…
…01001100100001000
3222122101002011200100
421213100021210020
5132114442040240
64424133005400
7513536301465
oct114720114410
928571064610
1010322221320
114417696724
122000a83860
13c86698788
146dcc7c66c
1540630ae30
hex267409908

10322221320 has 96 divisors (see below), whose sum is σ = 33559994520. Its totient is φ = 2751544320.

The previous prime is 10322221289. The next prime is 10322221331. The reversal of 10322221320 is 2312222301.

10322221320 is a `hidden beast` number, since 1 + 0 + 322 + 2 + 21 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9840243204 + 481978116 = 99198^2 + 21954^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10322221293 and 10322221302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579660 + ... + 1586180.

Almost surely, 210322221320 is an apocalyptic number.

10322221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322221320 is an abundant number, since it is smaller than the sum of its proper divisors (23237773200).

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

10322221320 is a wasteful number, since it uses less digits than its factorization.

10322221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10928 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10322221320 its reverse (2312222301), we get a palindrome (12634443621).

The spelling of 10322221320 in words is "ten billion, three hundred twenty-two million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4397 6521 8794 13042 13191 17588 19563 21985 26084 26382 32605 35176 39126 39573 43970 52168 52764 58689 65210 65955 78252 79146 87940 97815 105528 117378 130420 131910 156504 158292 175880 195630 197865 234756 260840 263820 293445 316584 391260 395730 469512 527640 586890 782520 791460 1173780 1582920 2347560 28672837 57345674 86018511 114691348 143364185 172037022 229382696 258055533 286728370 344074044 430092555 516111066 573456740 688148088 860185110 1032222132 1146913480 1290277665 1720370220 2064444264 2580555330 3440740440 5161110660 10322221320