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10100022001020 = 22325721145127211
BaseRepresentation
bin1001001011111001100000…
…1110010011110101111100
31022202112220220021100210200
42102332120032103311330
52310434321113013040
633251515215403500
72061462650334600
oct222763016236574
938675826240720
1010100022001020
113244439126886
121171550b23590
1358357439c103
1426cbb5079500
15127ad1076630
hex92f98393d7c

10100022001020 has 108 divisors (see below), whose sum is σ = 35638649091864. Its totient is φ = 2308576455360.

The previous prime is 10100022001009. The next prime is 10100022001031. The reversal of 10100022001020 is 2010022000101.

It is an interprime number because it is at equal distance from previous prime (10100022001009) and next prime (10100022001031).

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

It is a junction number, because it is equal to n+sod(n) for n = 10100022000993 and 10100022001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 572554786 + ... + 572572425.

Almost surely, 210100022001020 is an apocalyptic number.

10100022001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100022001020 is an abundant number, since it is smaller than the sum of its proper divisors (25538627090844).

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

10100022001020 is a wasteful number, since it uses less digits than its factorization.

10100022001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145127240 (or 1145127228 counting only the distinct ones).

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

Adding to 10100022001020 its reverse (2010022000101), we get a palindrome (12110044001121).

The spelling of 10100022001020 in words is "ten trillion, one hundred billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 1145127211 2290254422 3435381633 4580508844 5725636055 6870763266 8015890477 10306144899 11451272110 13741526532 16031780954 17176908165 20612289798 22902544220 24047671431 32063561908 34353816330 40079452385 41224579596 48095342862 51530724495 56111233339 68707632660 72143014293 80158904770 96190685724 103061448990 112222466678 120238357155 144286028586 160317809540 168333700017 206122897980 224444933356 240476714310 280556166695 288572057172 336667400034 360715071465 480953428620 505001100051 561112333390 673334800068 721430142930 841668500085 1010002200102 1122224666780 1442860285860 1683337000170 2020004400204 2525005500255 3366674000340 5050011000510 10100022001020