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201221121010 = 257213171858169
BaseRepresentation
bin1011101101100110110…
…1101010001111110010
3201020101110001001121111
42323121231222033302
511244100101333020
6232234550543534
720352306210400
oct2733155521762
9636343031544
10201221121010
1178379093518
1232bb8667baa
1315c8a2ca0a0
149a4c34c470
15537a782d5a
hex2ed9b6a3f2

201221121010 has 96 divisors (see below), whose sum is σ = 480433569840. Its totient is φ = 59937067008.

The previous prime is 201221121007. The next prime is 201221121019. The reversal of 201221121010 is 10121122102.

It can be written as a sum of positive squares in 8 ways, for example, as 150513737521 + 50707383489 = 387961^2 + 225183^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (201221121019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820795 + ... + 1037374.

Almost surely, 2201221121010 is an apocalyptic number.

201221121010 is an abundant number, since it is smaller than the sum of its proper divisors (279212448830).

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

201221121010 is a wasteful number, since it uses less digits than its factorization.

201221121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858220 (or 1858213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201221121010 its reverse (10121122102), we get a palindrome (211342243112).

The spelling of 201221121010 in words is "two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 17 26 34 35 49 65 70 85 91 98 119 130 170 182 221 238 245 442 455 490 595 637 833 910 1105 1190 1274 1547 1666 2210 3094 3185 4165 6370 7735 8330 10829 15470 21658 54145 108290 1858169 3716338 9290845 13007183 18581690 24156197 26014366 31588873 48312394 63177746 65035915 91050281 120780985 130071830 157944365 169093379 182100562 221122111 241561970 315888730 338186758 410655349 442244222 455251405 821310698 845466895 910502810 1105610555 1183653653 1547854777 1690933790 2053276745 2211221110 2367307306 2874587443 3095709554 4106553490 5749174886 5918268265 7739273885 11836536530 14372937215 15478547770 20122112101 28745874430 40244224202 100610560505 201221121010