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201021021111220 = 225234111909895003
BaseRepresentation
bin101101101101001111011010…
…100011100100001110110100
3222100202102101120222120120021
4231231033122203210032310
5202322012022401024340
61551311440543214524
760225201204466222
oct5555173243441664
9870672346876507
10201021021111220
11590625998a0232
121a6672792a7444
13882227c65166b
14378d67dbd7b12
151839041022e4a
hexb6d3da8e43b4

201021021111220 has 96 divisors (see below), whose sum is σ = 451280492087040. Its totient is φ = 75030094064640.

The previous prime is 201021021111199. The next prime is 201021021111247. The reversal of 201021021111220 is 22111120120102.

It is a junction number, because it is equal to n+sod(n) for n = 201021021111194 and 201021021111203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224156239 + ... + 225051241.

It is an arithmetic number, because the mean of its divisors is an integer number (4700838459240).

Almost surely, 2201021021111220 is an apocalyptic number.

201021021111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021021111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225640246043520).

201021021111220 is an abundant number, since it is smaller than the sum of its proper divisors (250259470975820).

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

201021021111220 is a wasteful number, since it uses less digits than its factorization.

201021021111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906985 (or 906983 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201021021111220 its reverse (22111120120102), we get a palindrome (223132141231322).

The spelling of 201021021111220 in words is "two hundred one trillion, twenty-one billion, twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 11909 18860 23818 47636 59545 119090 238180 273907 488269 547814 895003 976538 1095628 1369535 1790006 1953076 2441345 2739070 3580012 4475015 4882690 5478140 8950030 9765380 11230187 17900060 20585069 22460374 36695123 41170138 44920748 56150935 73390246 82340276 102925345 112301870 146780492 183475615 205850690 224603740 366951230 411701380 733902460 843987829 1687975658 3375951316 4219939145 8439878290 10658590727 16879756580 21317181454 42634362908 53292953635 106585907270 213171814540 245147586721 437002219807 490295173442 874004439614 980590346884 1225737933605 1748008879228 2185011099035 2451475867210 4370022198070 4902951734420 8740044396140 10051051055561 20102102111122 40204204222244 50255255277805 100510510555610 201021021111220