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10320121220 = 225672711619
BaseRepresentation
bin10011001110010000…
…01000110110000100
3222122020010110212212
421213020020312010
5132113422334340
64424020002552
7513512403653
oct114710106604
928566113785
1010320121220
114416491902
122000230458
13c86111906
146dc89319a
15406043a65
hex267208d84

10320121220 has 72 divisors (see below), whose sum is σ = 22324196160. Its totient is φ = 4006685760.

The previous prime is 10320121213. The next prime is 10320121243. The reversal of 10320121220 is 2212102301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10320121195 and 10320121204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6373571 + ... + 6375189.

It is an arithmetic number, because the mean of its divisors is an integer number (310058280).

Almost surely, 210320121220 is an apocalyptic number.

10320121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320121220 is an abundant number, since it is smaller than the sum of its proper divisors (12004074940).

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

10320121220 is a wasteful number, since it uses less digits than its factorization.

10320121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10320121220 its reverse (2212102301), we get a palindrome (12532223521).

It can be divided in two parts, 103201 and 21220, that added together give a palindrome (124421).

The spelling of 10320121220 in words is "ten billion, three hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 67 71 134 142 268 284 335 355 670 710 1340 1420 1619 3238 4489 4757 6476 8095 8978 9514 16190 17956 19028 22445 23785 32380 44890 47570 89780 95140 108473 114949 216946 229898 318719 433892 459796 542365 574745 637438 1084730 1149490 1274876 1593595 2169460 2298980 3187190 6374380 7267691 7701583 14535382 15403166 29070764 30806332 36338455 38507915 72676910 77015830 145353820 154031660 516006061 1032012122 2064024244 2580030305 5160060610 10320121220