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101134134314202 = 231115173751137597
BaseRepresentation
bin10110111111101100100000…
…001001101000010011011010
3111021002022212201010010021210
4112333230200021220103122
5101223440201341023302
6555032214021043550
730205462061561643
oct2677544011502332
9437068781103253
10101134134314202
112a2518222936a0
12b414580b565b6
134457ba59a4072
141ad8cbd83c6ca
15ba5ae6d0166c
hex5bfb202684da

101134134314202 has 64 divisors (see below), whose sum is σ = 222122219010048. Its totient is φ = 30443115000000.

The previous prime is 101134134314197. The next prime is 101134134314209. The reversal of 101134134314202 is 202413431431101.

It is a super-2 number, since 2×1011341343142022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101134134314202.

It is not an unprimeable number, because it can be changed into a prime (101134134314209) 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, 734933668 + ... + 735071264.

It is an arithmetic number, because the mean of its divisors is an integer number (3470659672032).

Almost surely, 2101134134314202 is an apocalyptic number.

101134134314202 is an abundant number, since it is smaller than the sum of its proper divisors (120988084695846).

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

101134134314202 is a wasteful number, since it uses less digits than its factorization.

101134134314202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211515.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 101134134314202 its reverse (202413431431101), we get a palindrome (303547565745303).

The spelling of 101134134314202 in words is "one hundred one trillion, one hundred thirty-four billion, one hundred thirty-four million, three hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 151 302 453 906 1661 3322 4983 9966 73751 137597 147502 221253 275194 412791 442506 811261 825582 1513567 1622522 2433783 3027134 4540701 4867566 9081402 11136401 20777147 22272802 33409203 41554294 62331441 66818406 122500411 124662882 228548617 245000822 367501233 457097234 685645851 735002466 1371291702 10147916347 20295832694 30443749041 60887498082 111627079817 223254159634 334881239451 669762478902 1532335368397 3064670736794 4597006105191 9194012210382 16855689052367 33711378104734 50567067157101 101134134314202