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100020381778332 = 223224671126203461
BaseRepresentation
bin10110101111011111001111…
…010100111000000110011100
3111010010212002101020010221200
4112233133033110320012130
5101102213220213401312
6552420421250555500
730032143205326431
oct2657371724700634
9433125071203850
10100020381778332
1129962450a95984
12b274753598b90
1343a6b5c952302
141a9b025ab7b88
15b86b5dd000dc
hex5af7cf53819c

100020381778332 has 36 divisors (see below), whose sum is σ = 252931783123656. Its totient is φ = 33326612788320.

The previous prime is 100020381778327. The next prime is 100020381778333. The reversal of 100020381778332 is 233877183020001.

It is a happy number.

100020381778332 is a `hidden beast` number, since 100 + 0 + 20 + 381 + 77 + 83 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020381778333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563012919 + ... + 563190542.

It is an arithmetic number, because the mean of its divisors is an integer number (7025882864546).

Almost surely, 2100020381778332 is an apocalyptic number.

100020381778332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020381778332 is an abundant number, since it is smaller than the sum of its proper divisors (152911401345324).

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

100020381778332 is a wasteful number, since it uses less digits than its factorization.

100020381778332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126205938 (or 1126205933 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 100020381778332 in words is "one hundred trillion, twenty billion, three hundred eighty-one million, seven hundred seventy-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2467 4934 7401 9868 14802 22203 29604 44406 88812 1126203461 2252406922 3378610383 4504813844 6757220766 10135831149 13514441532 20271662298 40543324596 2778343938287 5556687876574 8335031814861 11113375753148 16670063629722 25005095444583 33340127259444 50010190889166 100020381778332