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200120232120 = 233517157624829
BaseRepresentation
bin1011101001100000011…
…0000110100010111000
3201010112201112002221220
42322120012012202320
511234321234411440
6231533423032040
720313110622654
oct2723006064270
9633481462856
10200120232120
1177963721396
123294ba3b620
1315b431c7943
14998605ba64
155313cc38d0
hex2e981868b8

200120232120 has 128 divisors (see below), whose sum is σ = 639725947200. Its totient is φ = 49906262016.

The previous prime is 200120232097. The next prime is 200120232163. The reversal of 200120232120 is 21232021002.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200120232120.

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, 7866 + ... + 632694.

Almost surely, 2200120232120 is an apocalyptic number.

200120232120 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 200120232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319862973600).

200120232120 is an abundant number, since it is smaller than the sum of its proper divisors (439605715080).

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

200120232120 is a wasteful number, since it uses less digits than its factorization.

200120232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625017 (or 625013 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 200120232120 its reverse (21232021002), we get a palindrome (221352253122).

The spelling of 200120232120 in words is "two hundred billion, one hundred twenty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 157 170 204 255 314 340 408 471 510 628 680 785 942 1020 1256 1570 1884 2040 2355 2669 3140 3768 4710 5338 6280 8007 9420 10676 13345 16014 18840 21352 26690 32028 40035 53380 64056 80070 106760 160140 320280 624829 1249658 1874487 2499316 3124145 3748974 4998632 6248290 7497948 9372435 10622093 12496580 14995896 18744870 21244186 24993160 31866279 37489740 42488372 53110465 63732558 74979480 84976744 98098153 106220930 127465116 159331395 196196306 212441860 254930232 294294459 318662790 392392612 424883720 490490765 588588918 637325580 784785224 980981530 1177177836 1274651160 1471472295 1667668601 1961963060 2354355672 2942944590 3335337202 3923926120 5003005803 5885889180 6670674404 8338343005 10006011606 11771778360 13341348808 16676686010 20012023212 25015029015 33353372020 40024046424 50030058030 66706744040 100060116060 200120232120