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20412321010100 = 22521762691915337
BaseRepresentation
bin1001010010000100111010…
…01001001001000110110100
32200021101202202012001001222
410221002131021021012310
510133413413134310400
6111225142452205512
74204512225543065
oct451023511110664
980241682161058
1020412321010100
11655a8a9075708
122358065009898
13b50b4842c7a6
14507d6692056c
15255e882ae185
hex12909d2491b4

20412321010100 has 72 divisors (see below), whose sum is σ = 46907815129560. Its totient is φ = 7683408670720.

The previous prime is 20412321010099. The next prime is 20412321010111. The reversal of 20412321010100 is 101012321402.

It can be written as a sum of positive squares in 12 ways, for example, as 11025560866576 + 9386760143524 = 3320476^2 + 3063782^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9699632 + ... + 11614968.

It is an arithmetic number, because the mean of its divisors is an integer number (651497432355).

Almost surely, 220412321010100 is an apocalyptic number.

20412321010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412321010100 is an abundant number, since it is smaller than the sum of its proper divisors (26495494119460).

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

20412321010100 is a wasteful number, since it uses less digits than its factorization.

20412321010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921637 (or 1921630 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20412321010100 its reverse (101012321402), we get a palindrome (20513333331502).

The spelling of 20412321010100 in words is "twenty trillion, four hundred twelve billion, three hundred twenty-one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 6269 12538 25076 31345 62690 106573 125380 156725 213146 313450 426292 532865 626900 1065730 1915337 2131460 2664325 3830674 5328650 7661348 9576685 10657300 19153370 32560729 38306740 47883425 65121458 95766850 130242916 162803645 191533700 325607290 651214580 814018225 1628036450 3256072900 12007247653 24014495306 48028990612 60036238265 120072476530 204123210101 240144953060 300181191325 408246420202 600362382650 816492840404 1020616050505 1200724765300 2041232101010 4082464202020 5103080252525 10206160505050 20412321010100