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100221322644630 = 23351133744553079
BaseRepresentation
bin10110110010011010011000…
…010101011100110010010110
3111010212001202021220210101000
4112302122120111130302112
5101114011232044112010
6553053012351044130
730052515542446035
oct2662323025346226
9433761667823330
10100221322644630
1129a2a695960930
12b2a7692210646
1343bcaa3b75ab5
141aa6a48b1271c
15b8bebeb747c0
hex5b269855cc96

100221322644630 has 64 divisors (see below), whose sum is σ = 291552938611200. Its totient is φ = 24296078216160.

The previous prime is 100221322644577. The next prime is 100221322644647. The reversal of 100221322644630 is 36446223122001.

100221322644630 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 3 + 2 + 2 + 644 + 6 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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, 16872273570 + ... + 16872279509.

It is an arithmetic number, because the mean of its divisors is an integer number (4555514665800).

Almost surely, 2100221322644630 is an apocalyptic number.

100221322644630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221322644630 is an abundant number, since it is smaller than the sum of its proper divisors (191331615966570).

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

100221322644630 is a wasteful number, since it uses less digits than its factorization.

100221322644630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33744553106 (or 33744553100 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 100221322644630 its reverse (36446223122001), we get a palindrome (136667545766631).

The spelling of 100221322644630 in words is "one hundred trillion, two hundred twenty-one billion, three hundred twenty-two million, six hundred forty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 33744553079 67489106158 101233659237 168722765395 202467318474 303700977711 337445530790 371190083869 506168296185 607401955422 742380167738 911102933133 1012336592370 1113570251607 1518504888555 1822205866266 1855950419345 2227140503214 3037009777110 3340710754821 3711900838690 4555514665665 5567851258035 6681421509642 9111029331330 10022132264463 11135702516070 16703553774105 20044264528926 33407107548210 50110661322315 100221322644630