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203300023122 = 23373156930491
BaseRepresentation
bin1011110101010110100…
…0000010101101010010
3201102202022212020012000
42331111220002231102
511312324301214442
6233221133014430
720454651453450
oct2752550025522
9642668766160
10203300023122
1179245621439
1233498924416
131622bc0bb91
149ba84a59d0
15544d02dd4c
hex2f55a02b52

203300023122 has 128 divisors (see below), whose sum is σ = 533927116800. Its totient is φ = 56111356800.

The previous prime is 203300023081. The next prime is 203300023133. The reversal of 203300023122 is 221320003302.

It is a happy number.

203300023122 is a `hidden beast` number, since 20 + 330 + 0 + 0 + 2 + 312 + 2 = 666.

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 = 203300023095 and 203300023104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6652297 + ... + 6682787.

It is an arithmetic number, because the mean of its divisors is an integer number (4171305600).

Almost surely, 2203300023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203300023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266963558400).

203300023122 is an abundant number, since it is smaller than the sum of its proper divisors (330627093678).

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

203300023122 is a wasteful number, since it uses less digits than its factorization.

203300023122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31109 (or 31103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 203300023122 its reverse (221320003302), we get a palindrome (424620026424).

The spelling of 203300023122 in words is "two hundred three billion, three hundred million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 569 651 837 1138 1302 1674 1707 1953 3414 3906 3983 5121 5859 7966 10242 11718 11949 15363 17639 23898 30491 30726 35278 35847 52917 60982 71694 91473 105834 107541 123473 158751 182946 213437 215082 246946 274419 317502 370419 426874 476253 548838 640311 740838 823257 945221 952506 1111257 1280622 1646514 1890442 1920933 2222514 2835663 3333771 3841866 5671326 5762799 6616547 6667542 8506989 11525598 13233094 17013978 17349379 19849641 25520967 34698758 39699282 51041934 52048137 59548923 104096274 119097846 121445653 156144411 178646769 242891306 312288822 357293538 364336959 468433233 537830749 728673918 936866466 1075661498 1093010877 1613492247 2186021754 3226984494 3279032631 3764815243 4840476741 6558065262 7529630486 9680953482 11294445729 14521430223 22588891458 29042860446 33883337187 67766674374 101650011561 203300023122