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10001022020010 = 23257137115873271
BaseRepresentation
bin1001000110001000101101…
…0111010110100110101010
31022102002101102100020201100
42101202023113112212222
52302324043114120020
633134223414302230
72051356435356420
oct221421327264652
938362342306640
1010001022020010
11320645622785a
121156322057976
13577127b053a8
142680a2b6d110
15125239a23a90
hex9188b5d69aa

10001022020010 has 96 divisors (see below), whose sum is σ = 29934237595392. Its totient is φ = 2269262119680.

The previous prime is 10001022019951. The next prime is 10001022020053. The reversal of 10001022020010 is 1002022010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10001022019974 and 10001022020001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57850326 + ... + 58022945.

It is an arithmetic number, because the mean of its divisors is an integer number (311814974952).

Almost surely, 210001022020010 is an apocalyptic number.

10001022020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001022020010 is an abundant number, since it is smaller than the sum of its proper divisors (19933215575382).

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

10001022020010 is a wasteful number, since it uses less digits than its factorization.

10001022020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115873428 (or 115873425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001022020010 its reverse (1002022010001), we get a palindrome (11003044030011).

The spelling of 10001022020010 in words is "ten trillion, one billion, twenty-two million, twenty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 137 210 274 315 411 630 685 822 959 1233 1370 1918 2055 2466 2877 4110 4795 5754 6165 8631 9590 12330 14385 17262 28770 43155 86310 115873271 231746542 347619813 579366355 695239626 811112897 1042859439 1158732710 1622225794 1738099065 2085718878 2433338691 3476198130 4055564485 4866677382 5214297195 7300016073 8111128970 10428594390 12166693455 14600032146 15874638127 24333386910 31749276254 36500080365 47623914381 73000160730 79373190635 95247828762 111122466889 142871743143 158746381270 222244933778 238119571905 285743486286 333367400667 476239143810 555612334445 666734801334 714358715715 1000102202001 1111224668890 1428717431430 1666837003335 2000204404002 3333674006670 5000511010005 10001022020010