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201001210001020 = 2251113237729566741
BaseRepresentation
bin101101101100111100111101…
…101110001011011001111100
3222100200112020220212220102001
4231230330331232023121330
5202321200434230013040
61551254403042312044
760223600235024362
oct5554747556133174
9870615226786361
10201001210001020
1159055152a55990
121a66346a658624
138820443141050
14378c720a41632
151838781b6959a
hexb6cf3db8b67c

201001210001020 has 96 divisors (see below), whose sum is σ = 496105331230656. Its totient is φ = 67440551270400.

The previous prime is 201001210001017. The next prime is 201001210001077. The reversal of 201001210001020 is 20100012100102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201001210000988 and 201001210001006.

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, 7985151 + ... + 21581590.

It is an arithmetic number, because the mean of its divisors is an integer number (5167763866986).

Almost surely, 2201001210001020 is an apocalyptic number.

201001210001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001210001020 is an abundant number, since it is smaller than the sum of its proper divisors (295104121229636).

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

201001210001020 is a wasteful number, since it uses less digits than its factorization.

201001210001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29569151 (or 29569149 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201001210001020 its reverse (20100012100102), we get a palindrome (221101222101122).

The spelling of 201001210001020 in words is "two hundred one trillion, one billion, two hundred ten million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2377 2860 4754 9508 11885 23770 26147 30901 47540 52294 61802 104588 123604 130735 154505 261470 309010 339911 522940 618020 679822 1359644 1699555 3399110 6798220 29566741 59133482 118266964 147833705 295667410 325234151 384367633 591334820 650468302 768735266 1300936604 1537470532 1626170755 1921838165 3252341510 3843676330 4228043963 6504683020 7687352660 8456087926 16912175852 21140219815 42280439630 70280143357 84560879260 140560286714 281120573428 351400716785 702801433570 773081576927 913641863641 1405602867140 1546163153854 1827283727282 3092326307708 3654567454564 3865407884635 4568209318205 7730815769270 9136418636410 10050060500051 15461631538540 18272837272820 20100121000102 40200242000204 50250302500255 100500605000510 201001210001020