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122133101012202 = 23712723398270791
BaseRepresentation
bin11011110001010001010100…
…000110011110010011101010
3121000102210212210122212120010
4123301101110012132103222
5112002012042324342302
61111431101054312350
734503553045501410
oct3361212406362352
9530383783585503
10122133101012202
1135a083a2577525
12118462684b86b6
13531c143156517
1422233b8ba72b0
15e1be6784016c
hex6f145419e4ea

122133101012202 has 64 divisors (see below), whose sum is σ = 282567049150464. Its totient is φ = 34471820799360.

The previous prime is 122133101012201. The next prime is 122133101012203. The reversal of 122133101012202 is 202210101331221.

It is an interprime number because it is at equal distance from previous prime (122133101012201) and next prime (122133101012203).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (122133101012201) 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 31 ways as a sum of consecutive naturals, for example, 47892574 + ... + 50378217.

It is an arithmetic number, because the mean of its divisors is an integer number (4415110142976).

Almost surely, 2122133101012202 is an apocalyptic number.

122133101012202 is an abundant number, since it is smaller than the sum of its proper divisors (160433948138262).

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

122133101012202 is a wasteful number, since it uses less digits than its factorization.

122133101012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98271163.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122133101012202 its reverse (202210101331221), we get a palindrome (324343202343423).

The spelling of 122133101012202 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred one million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 127 233 254 381 466 699 762 889 1398 1631 1778 2667 3262 4893 5334 9786 29591 59182 88773 177546 207137 414274 621411 1242822 98270791 196541582 294812373 589624746 687895537 1375791074 2063686611 4127373222 12480390457 22897094303 24960780914 37441171371 45794188606 68691282909 74882342742 87362733199 137382565818 160279660121 174725466398 262088199597 320559320242 480838980363 524176399194 961677960726 2907930976481 5815861952962 8723792929443 17447585858886 20355516835367 40711033670734 61066550506101 122133101012202