Search a number
-
+
20000120100 = 223521915722349
BaseRepresentation
bin10010101000000110…
…011001110100100100
31220121211202100222220
4102220012121310210
5311430012320400
613104331552340
71305423134022
oct225006316444
956554670886
1020000120100
118533601284
123a61bbb6b0
131b6971a4bc
14d7a317712
157c0c917a0
hex4a8199d24

20000120100 has 144 divisors (see below), whose sum is σ = 61303368000. Its totient is φ = 5020254720.

The previous prime is 20000120093. The next prime is 20000120113. The reversal of 20000120100 is 102100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883726 + ... + 906074.

Almost surely, 220000120100 is an apocalyptic number.

20000120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30651684000).

20000120100 is an abundant number, since it is smaller than the sum of its proper divisors (41303247900).

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

20000120100 is a wasteful number, since it uses less digits than its factorization.

20000120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22542 (or 22535 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20000120100 its reverse (102100002), we get a palindrome (20102220102).

The spelling of 20000120100 in words is "twenty billion, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 157 190 228 285 300 314 380 471 475 570 628 785 942 950 1140 1425 1570 1884 1900 2355 2850 2983 3140 3925 4710 5700 5966 7850 8949 9420 11775 11932 14915 15700 17898 22349 23550 29830 35796 44698 44745 47100 59660 67047 74575 89396 89490 111745 134094 149150 178980 223490 223725 268188 298300 335235 424631 446980 447450 558725 670470 849262 894900 1117450 1273893 1340940 1676175 1698524 2123155 2234900 2547786 3352350 3508793 4246310 5095572 6369465 6704700 7017586 8492620 10526379 10615775 12738930 14035172 17543965 21052758 21231550 25477860 31847325 35087930 42105516 42463100 52631895 63694650 66667067 70175860 87719825 105263790 127389300 133334134 175439650 200001201 210527580 263159475 266668268 333335335 350879300 400002402 526318950 666670670 800004804 1000006005 1052637900 1333341340 1666676675 2000012010 3333353350 4000024020 5000030025 6666706700 10000060050 20000120100