Search a number
-
+
332021001020202 = 2321327134715088669
BaseRepresentation
bin100101101111110001010100…
…1110100101110001100101010
31121112120220020102121120010100
41023133202221310232030222
5322004313002230121302
63134052201525130230
7126635503631331444
oct11337425164561452
91545526212546110
10332021001020202
11968793523406aa
12312a3a89559976
13113355a4c896b0
145bdbc8b88d494
15285b9651b4d1c
hex12df8a9d2e32a

332021001020202 has 96 divisors (see below), whose sum is σ = 779815298545920. Its totient is φ = 101490002248320.

The previous prime is 332021001020171. The next prime is 332021001020209. The reversal of 332021001020202 is 202020100120233.

332021001020202 is a `hidden beast` number, since 332 + 0 + 2 + 100 + 10 + 20 + 202 = 666.

It is a super-2 number, since 2×3320210010202022 (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332021001020209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14460324 + ... + 29548992.

It is an arithmetic number, because the mean of its divisors is an integer number (8123076026520).

Almost surely, 2332021001020202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332021001020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389907649272960).

332021001020202 is an abundant number, since it is smaller than the sum of its proper divisors (447794297525718).

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

332021001020202 is a wasteful number, since it uses less digits than its factorization.

332021001020202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15089308 (or 15089305 counting only the distinct ones).

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

Adding to 332021001020202 its reverse (202020100120233), we get a palindrome (534041101140435).

The spelling of 332021001020202 in words is "three hundred thirty-two trillion, twenty-one billion, one million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 271 347 542 694 813 1041 1626 2082 2439 3123 3523 4511 4878 6246 7046 9022 10569 13533 21138 27066 31707 40599 63414 81198 94037 188074 282111 564222 846333 1222481 1692666 2444962 3667443 7334886 11002329 15088669 22004658 30177338 45266007 90532014 135798021 196152697 271596042 392305394 588458091 1176916182 1765374273 3530748546 4089029299 5235768143 8178058598 10471536286 12267087897 15707304429 24534175794 31414608858 36801263691 47121913287 53157380887 68064985859 73602527382 94243826574 106314761774 136129971718 159472142661 204194957577 318944285322 408389915154 478416427983 612584872731 956832855966 1225169745462 1418893166753 2837786333506 4256679500259 8513359000518 12770038500777 18445611167789 25540077001554 36891222335578 55336833503367 110673667006734 166010500510101 332021001020202