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100202101020 = 22325779525477
BaseRepresentation
bin101110101010010000…
…0101011100100011100
3100120122020221010201200
41131110200223210130
53120203214213040
6114010542435500
710145046543210
oct1352440534434
9316566833650
10100202101020
113954a52363a
1217505592b90
1395ab651148
144bc7c2c940
152916d5b630
hex175482b91c

100202101020 has 72 divisors (see below), whose sum is σ = 347367287904. Its totient is φ = 22903337088.

The previous prime is 100202101019. The next prime is 100202101037. The reversal of 100202101020 is 20101202001.

It is a super-2 number, since 2×1002021010202 (a number of 23 digits) contains 22 as substring.

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 = 100202100993 and 100202101011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39761479 + ... + 39763998.

Almost surely, 2100202101020 is an apocalyptic number.

100202101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202101020 is an abundant number, since it is smaller than the sum of its proper divisors (247165186884).

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

100202101020 is a wasteful number, since it uses less digits than its factorization.

100202101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79525499 (or 79525494 counting only the distinct ones).

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

Adding to 100202101020 its reverse (20101202001), we get a palindrome (120303303021).

The spelling of 100202101020 in words is "one hundred billion, two hundred two million, one hundred 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 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 79525477 159050954 238576431 318101908 397627385 477152862 556678339 715729293 795254770 954305724 1113356678 1192882155 1431458586 1590509540 1670035017 2226713356 2385764310 2783391695 2862917172 3340070034 3578646465 4771528620 5010105051 5566783390 6680140068 7157292930 8350175085 10020210102 11133566780 14314585860 16700350170 20040420204 25050525255 33400700340 50101050510 100202101020