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10100212021020 = 22351121391213777
BaseRepresentation
bin1001001011111010001110…
…0011001011011100011100
31022202120102010211101020110
42102332203203023130130
52310440213234133040
633251550124250020
72061500445435012
oct222764343133434
938676363741213
1010100212021020
113244526412700
1211715a46a0910
135835a4870994
1426cbd23c08b2
15127ae2aad980
hex92fa38cb71c

10100212021020 has 72 divisors (see below), whose sum is σ = 31085280655632. Its totient is φ = 2448536245760.

The previous prime is 10100212021007. The next prime is 10100212021037. The reversal of 10100212021020 is 2012021200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100212020987 and 10100212021005.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 695599629 + ... + 695614148.

It is an arithmetic number, because the mean of its divisors is an integer number (431740009106).

Almost surely, 210100212021020 is an apocalyptic number.

10100212021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100212021020 is an abundant number, since it is smaller than the sum of its proper divisors (20985068634612).

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

10100212021020 is a wasteful number, since it uses less digits than its factorization.

10100212021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391213811 (or 1391213798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100212021020 its reverse (2012021200101), we get a palindrome (12112233221121).

The spelling of 10100212021020 in words is "ten trillion, one hundred billion, two hundred twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 1391213777 2782427554 4173641331 5564855108 6956068885 8347282662 13912137770 15303351547 16694565324 20868206655 27824275540 30606703094 41736413310 45910054641 61213406188 76516757735 83472826620 91820109282 153033515470 168336867017 183640218564 229550273205 306067030940 336673734034 459100546410 505010601051 673347468068 841684335085 918201092820 1010021202102 1683368670170 2020042404204 2525053005255 3366737340340 5050106010510 10100212021020