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201012200110220 = 225612933791483733
BaseRepresentation
bin101101101101000111001100…
…110010000111100010001100
3222100201120121211201022000112
4231231013030302013202030
5202321340441212011340
61551303421354415152
760224436464304152
oct5555071462074214
9870646554638015
10201012200110220
1159059882648664
121a6656171314b8
1388214a4cb4745
14378d0844993d2
151838bc6903065
hexb6d1ccc8788c

201012200110220 has 96 divisors (see below), whose sum is σ = 431646233497920. Its totient is φ = 78608833551360.

The previous prime is 201012200110207. The next prime is 201012200110237. The reversal of 201012200110220 is 22011002210102.

It is a super-2 number, since 2×2010122001102202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201012200110195 and 201012200110204.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 134735474 + ... + 136219206.

It is an arithmetic number, because the mean of its divisors is an integer number (4496314932270).

Almost surely, 2201012200110220 is an apocalyptic number.

201012200110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012200110220 is an abundant number, since it is smaller than the sum of its proper divisors (230634033387700).

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

201012200110220 is a wasteful number, since it uses less digits than its factorization.

201012200110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484475 (or 1484473 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201012200110220 its reverse (22011002210102), we get a palindrome (223023202320322).

The spelling of 201012200110220 in words is "two hundred one trillion, twelve billion, two hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 293 305 379 586 610 758 1172 1220 1465 1516 1895 2930 3790 5860 7580 17873 23119 35746 46238 71492 89365 92476 111047 115595 178730 222094 231190 357460 444188 462380 555235 1110470 1483733 2220940 2967466 5934932 6773867 7418665 13547734 14837330 27095468 29674660 33869335 67738670 90507713 135477340 181015426 362030852 434733769 452538565 562334807 869467538 905077130 1124669614 1738935076 1810154260 2173668845 2249339228 2811674035 4347337690 5623348070 8694675380 11246696140 26518759909 34302423227 53037519818 68604846454 106075039636 132593799545 137209692908 164764098451 171512116135 265187599090 329528196902 343024232270 530375198180 659056393804 686048464540 823820492255 1647640984510 3295281969020 10050610005511 20101220011022 40202440022044 50253050027555 100506100055110 201012200110220