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201002101121020 = 22561311628784263
BaseRepresentation
bin101101101100111101110010…
…110101100001111111111100
3222100200121120000200111020111
4231230331302311201333330
5202321204300341333040
61551255031314155404
760223631305310023
oct5554756265417774
9870617500614214
10201002101121020
115905556aa725a1
121a663678b82b64
1388205559488a4
14378c7a71298ba
1518387d4ededea
hexb6cf72d61ffc

201002101121020 has 96 divisors (see below), whose sum is σ = 430477223694336. Its totient is φ = 78815034681600.

The previous prime is 201002101121011. The next prime is 201002101121021. The reversal of 201002101121020 is 20121101200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002101121021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385371409 + ... + 2385455671.

It is an arithmetic number, because the mean of its divisors is an integer number (4484137746816).

Almost surely, 2201002101121020 is an apocalyptic number.

201002101121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002101121020 is an abundant number, since it is smaller than the sum of its proper divisors (229475122573316).

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

201002101121020 is a wasteful number, since it uses less digits than its factorization.

201002101121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90931 (or 90929 counting only the distinct ones).

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

Adding to 201002101121020 its reverse (20121101200102), we get a palindrome (221123202321122).

The spelling of 201002101121020 in words is "two hundred one trillion, two billion, one hundred one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 311 610 622 1220 1244 1555 3110 6220 6287 12574 18971 25148 31435 37942 62870 75884 84263 94855 125740 168526 189710 337052 379420 383507 421315 767014 842630 1534028 1685260 1917535 1955257 3835070 3910514 5140043 7670140 7821028 9776285 10280086 19552570 20560172 25700215 26205793 39105140 51400430 52411586 102800860 104823172 119270677 131028965 238541354 262057930 477082708 524115860 529761481 596353385 1059522962 1192706770 1598553373 2119045924 2385413540 2648807405 3197106746 5297614810 6394213492 7992766865 10595229620 15985533730 31971067460 32315450341 64630900682 129261801364 161577251705 164755820591 323154503410 329511641182 646309006820 659023282364 823779102955 1647558205910 3295116411820 10050105056051 20100210112102 40200420224204 50250525280255 100501050560510 201002101121020