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202003121124 = 223272191599551
BaseRepresentation
bin1011110000100001010…
…0110000001111100100
3201022101221111210002200
42330020110300033210
511302200244333444
6232444323534500
720410553125200
oct2741024601744
9638357453080
10202003121124
117873a54a802
123319652a430
131608331a04c
149ac414db00
1553c4251969
hex2f085303e4

202003121124 has 108 divisors (see below), whose sum is σ = 597096235008. Its totient is φ = 57412908000.

The previous prime is 202003121101. The next prime is 202003121147. The reversal of 202003121124 is 421121300202.

It is a happy number.

202003121124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202003121101) and next prime (202003121147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202003121097 and 202003121106.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37149 + ... + 636699.

Almost surely, 2202003121124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202003121124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298548117504).

202003121124 is an abundant number, since it is smaller than the sum of its proper divisors (395093113884).

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

202003121124 is a wasteful number, since it uses less digits than its factorization.

202003121124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599766 (or 599754 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202003121124 its reverse (421121300202), we get a palindrome (623124421326).

The spelling of 202003121124 in words is "two hundred two billion, three million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 191 196 252 294 382 441 573 588 764 882 1146 1337 1719 1764 2292 2674 3438 4011 5348 6876 8022 9359 12033 16044 18718 24066 28077 37436 48132 56154 84231 112308 168462 336924 599551 1199102 1798653 2398204 3597306 4196857 5395959 7194612 8393714 10791918 12590571 16787428 21583836 25181142 29377999 37771713 50362284 58755998 75543426 88133997 114514241 117511996 151086852 176267994 229028482 264401991 343542723 352535988 458056964 528803982 687085446 801599687 1030628169 1057607964 1374170892 1603199374 2061256338 2404799061 3206398748 4122512676 4809598122 5611197809 7214397183 9619196244 11222395618 14428794366 16833593427 22444791236 28857588732 33667186854 50500780281 67334373708 101001560562 202003121124