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100202212320033 = 31076531062744983
BaseRepresentation
bin10110110010001000100101…
…010001010110001100100001
3111010210020102110110201100010
4112302020211101112030201
5101113203112323220113
6553040132202315133
730051241142410005
oct2662104521261441
9433706373421303
10100202212320033
1129a2257965213a
12b2a3a3a1b8aa9
1343bb0498bb315
141aa5b54a5a705
15b8b7520961c3
hex5b2225456321

100202212320033 has 32 divisors (see below), whose sum is σ = 135073797958656. Its totient is φ = 66068132251968.

The previous prime is 100202212320029. The next prime is 100202212320047. The reversal of 100202212320033 is 330023212202001.

It is a happy number.

It is not a de Polignac number, because 100202212320033 - 22 = 100202212320029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100202212319991 and 100202212320009.

It is not an unprimeable number, because it can be changed into a prime (100202212320013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2227534860 + ... + 2227579842.

It is an arithmetic number, because the mean of its divisors is an integer number (4221056186208).

Almost surely, 2100202212320033 is an apocalyptic number.

It is an amenable number.

100202212320033 is a deficient number, since it is larger than the sum of its proper divisors (34871585638623).

100202212320033 is a wasteful number, since it uses less digits than its factorization.

100202212320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56373.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100202212320033 its reverse (330023212202001), we get a palindrome (430225424522034).

The spelling of 100202212320033 in words is "one hundred trillion, two hundred two billion, two hundred twelve million, three hundred twenty thousand, thirty-three".

Divisors: 1 3 107 321 653 1959 10627 31881 44983 69871 134949 209613 1137089 3411267 4813181 6939431 14439543 20818293 29373899 88121697 478034341 742519117 1434103023 2227557351 3143007193 9429021579 51149674487 153449023461 312156424673 936469274019 33400737440011 100202212320033