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200121212100 = 223527943319501
BaseRepresentation
bin1011101001100000100…
…1110101110011000100
3201010112210100220020110
42322120021311303010
511234322012241400
6231533500033020
720313122144025
oct2723011656304
9633483326213
10200121212100
1177964230697
1232950232770
1315b4347ba04
149986234c4c
155313e18e50
hex2e98275cc4

200121212100 has 144 divisors (see below), whose sum is σ = 587730993920. Its totient is φ = 52565760000.

The previous prime is 200121212041. The next prime is 200121212147. The reversal of 200121212100 is 1212121002.

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

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, 10252350 + ... + 10271850.

Almost surely, 2200121212100 is an apocalyptic number.

200121212100 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 200121212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293865496960).

200121212100 is an abundant number, since it is smaller than the sum of its proper divisors (387609781820).

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

200121212100 is a wasteful number, since it uses less digits than its factorization.

200121212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20030 (or 20023 counting only the distinct ones).

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

Adding to 200121212100 its reverse (1212121002), we get a palindrome (201333333102).

The spelling of 200121212100 in words is "two hundred billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 433 474 790 866 948 1185 1299 1580 1732 1975 2165 2370 2598 3950 4330 4740 5196 5925 6495 7900 8660 10825 11850 12990 19501 21650 23700 25980 32475 34207 39002 43300 58503 64950 68414 78004 97505 102621 117006 129900 136828 171035 195010 205242 234012 292515 342070 390020 410484 487525 513105 585030 684140 855175 975050 1026210 1170060 1462575 1540579 1710350 1950100 2052420 2565525 2925150 3081158 3420700 4621737 5131050 5850300 6162316 7702895 8443933 9243474 10262100 15405790 16887866 18486948 23108685 25331799 30811580 33775732 38514475 42219665 46217370 50663598 77028950 84439330 92434740 101327196 115543425 126658995 154057900 168878660 211098325 231086850 253317990 422196650 462173700 506635980 633294975 667070707 844393300 1266589950 1334141414 2001212121 2533179900 2668282828 3335353535 4002424242 6670707070 8004848484 10006060605 13341414140 16676767675 20012121210 33353535350 40024242420 50030303025 66707070700 100060606050 200121212100