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200313211122 = 232172283136067
BaseRepresentation
bin1011101010001110011…
…0010000100011110010
3201011001011122110101100
42322203212100203302
511240220140223442
6232004515145230
720320643125653
oct2724346204362
9634034573340
10200313211122
1177a52649372
12329a45a5216
1315b741942bb
1499a393352a
155325be284c
hex2ea39908f2

200313211122 has 72 divisors (see below), whose sum is σ = 462676374576. Its totient is φ = 62620838784.

The previous prime is 200313211079. The next prime is 200313211177. The reversal of 200313211122 is 221112313002.

200313211122 is a `hidden beast` number, since 20 + 0 + 313 + 211 + 122 = 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 = 200313211095 and 200313211104.

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, 1404133 + ... + 1540199.

It is an arithmetic number, because the mean of its divisors is an integer number (6426060758).

Almost surely, 2200313211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200313211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231338187288).

200313211122 is an abundant number, since it is smaller than the sum of its proper divisors (262363163454).

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

200313211122 is a wasteful number, since it uses less digits than its factorization.

200313211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136392 (or 136372 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200313211122 its reverse (221112313002), we get a palindrome (421425524124).

The spelling of 200313211122 in words is "two hundred billion, three hundred thirteen million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 283 289 306 566 578 849 867 1698 1734 2547 2601 4811 5094 5202 9622 14433 28866 43299 81787 86598 136067 163574 245361 272134 408201 490722 736083 816402 1224603 1472166 2313139 2449206 4626278 6939417 13878834 20818251 38506961 39323363 41636502 77013922 78646726 115520883 117970089 231041766 235940178 346562649 353910267 654618337 693125298 707820534 1309236674 1963855011 3927710022 5891565033 11128511729 11783130066 22257023458 33385535187 66771070374 100156605561 200313211122