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1011202100020 = 2257127274120749
BaseRepresentation
bin11101011011100000101…
…01111000101100110100
310120200002102011001211101
432231300111320230310
5113031420214200040
62052312334215444
7133025350013530
oct16556025705464
93520072131741
101011202100020
1135a9372504a2
12143b89654584
13744820342a8
1436d2a0c4bc0
151b484e2709a
hexeb70578b34

1011202100020 has 96 divisors (see below), whose sum is σ = 2447004672000. Its totient is φ = 343825896960.

The previous prime is 1011202100017. The next prime is 1011202100033. The reversal of 1011202100020 is 200012021101.

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

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, 48724606 + ... + 48745354.

It is an arithmetic number, because the mean of its divisors is an integer number (25489632000).

Almost surely, 21011202100020 is an apocalyptic number.

1011202100020 is a gapful number since it is divisible by the number (10) 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 1011202100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223502336000).

1011202100020 is an abundant number, since it is smaller than the sum of its proper divisors (1435802571980).

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

1011202100020 is a wasteful number, since it uses less digits than its factorization.

1011202100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23633 (or 23631 counting only the distinct ones).

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

Adding to 1011202100020 its reverse (200012021101), we get a palindrome (1211214121121).

The spelling of 1011202100020 in words is "one trillion, eleven billion, two hundred two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 2540 2741 3556 4445 5482 8890 10964 13705 17780 19187 20749 27410 38374 41498 54820 76748 82996 95935 103745 145243 191870 207490 290486 348107 383740 414980 580972 696214 726215 1392428 1452430 1740535 2436749 2635123 2904860 3481070 4873498 5270246 6962140 9746996 10540492 12183745 13175615 18445861 24367490 26351230 36891722 48734980 52702460 56873009 73783444 92229305 113746018 184458610 227492036 284365045 368917220 398111063 568730090 796222126 1137460180 1592444252 1990555315 3981110630 7222872143 7962221260 14445744286 28891488572 36114360715 50560105001 72228721430 101120210002 144457442860 202240420004 252800525005 505601050010 1011202100020