Search a number
-
+
100121221201020 = 223517636891541209
BaseRepresentation
bin10110110000111101001001…
…110100101111110001111100
3111010111111101001101120122120
4112300331021310233301330
5101110341230111413040
6552535015401442540
730042343124303415
oct2660751164576174
9433444331346576
10100121221201020
11299a1198238738
12b2901b64a0450
1343b3510338766
141aa1c7040680c
15b895b1a9c7d0
hex5b0f49d2fc7c

100121221201020 has 96 divisors (see below), whose sum is σ = 296834826657600. Its totient is φ = 25128052506624.

The previous prime is 100121221200991. The next prime is 100121221201033. The reversal of 100121221201020 is 20102122121001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 64192176 + ... + 65733384.

It is an arithmetic number, because the mean of its divisors is an integer number (3092029444350).

Almost surely, 2100121221201020 is an apocalyptic number.

100121221201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121221201020 is an abundant number, since it is smaller than the sum of its proper divisors (196713605456580).

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

100121221201020 is a wasteful number, since it uses less digits than its factorization.

100121221201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604927 (or 1604925 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100121221201020 its reverse (20102122121001), we get a palindrome (120223343322021).

The spelling of 100121221201020 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 63689 127378 191067 254756 318445 382134 636890 764268 955335 1082713 1273780 1541209 1910670 2165426 3082418 3248139 3821340 4330852 4623627 5413565 6164836 6496278 7706045 9247254 10827130 12992556 15412090 16240695 18494508 21654260 23118135 26200553 30824180 32481390 46236270 52401106 64962780 78601659 92472540 104802212 131002765 157203318 262005530 314406636 393008295 524011060 786016590 1572033180 98158060001 196316120002 294474180003 392632240004 490790300005 588948360006 981580600010 1177896720012 1472370900015 1668687020017 1963161200020 2944741800030 3337374040034 5006061060051 5889483600060 6674748080068 8343435100085 10012122120102 16686870200170 20024244240204 25030305300255 33373740400340 50060610600510 100121221201020