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200133211122 = 232133723115409
BaseRepresentation
bin1011101001100011011…
…1100111001111110010
3201010120121221111210200
42322120313213033302
511234333100223442
6231535005140030
720313326140425
oct2723067471762
9633517844720
10200133211122
117796aa86739
123295425a616
1315b45ac0420
149987a799bc
155314ed934c
hex2e98de73f2

200133211122 has 48 divisors (see below), whose sum is σ = 479598526680. Its totient is φ = 59915137536.

The previous prime is 200133211121. The next prime is 200133211129. The reversal of 200133211122 is 221112331002.

200133211122 is a `hidden beast` number, since 200 + 1 + 332 + 11 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146290185441 + 53843025681 = 382479^2 + 232041^2 .

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 = 200133211095 and 200133211104.

It is not an unprimeable number, because it can be changed into a prime (200133211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11549047 + ... + 11566362.

Almost surely, 2200133211122 is an apocalyptic number.

200133211122 is an abundant number, since it is smaller than the sum of its proper divisors (279465315558).

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

200133211122 is a wasteful number, since it uses less digits than its factorization.

200133211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23115467 (or 23115464 counting only the distinct ones).

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

Adding to 200133211122 its reverse (221112331002), we get a palindrome (421245542124).

The spelling of 200133211122 in words is "two hundred billion, one hundred thirty-three million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 23115409 46230818 69346227 138692454 208038681 300500317 416077362 601000634 855270133 901500951 1710540266 1803001902 2565810399 2704502853 5131620798 5409005706 7697431197 11118511729 15394862394 22237023458 33355535187 66711070374 100066605561 200133211122