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100111033020 = 223515111104247
BaseRepresentation
bin101110100111100010…
…1010010001010111100
3100120101220120101220210
41131033011102022330
53120011411024040
6113553530512420
710142562511635
oct1351705221274
9316356511823
10100111033020
1139503082929
121749ab95710
13959581705b
144bb9ac488c
15290dd6d480
hex174f1522bc

100111033020 has 48 divisors (see below), whose sum is σ = 280496659968. Its totient is φ = 26678583360.

The previous prime is 100111033019. The next prime is 100111033067. The reversal of 100111033020 is 20330111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100111032987 and 100111033005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 461464 + ... + 642783.

It is an arithmetic number, because the mean of its divisors is an integer number (5843680416).

Almost surely, 2100111033020 is an apocalyptic number.

100111033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111033020 is an abundant number, since it is smaller than the sum of its proper divisors (180385626948).

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

100111033020 is a wasteful number, since it uses less digits than its factorization.

100111033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105770 (or 1105768 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100111033020 its reverse (20330111001), we get a palindrome (120441144021).

The spelling of 100111033020 in words is "one hundred billion, one hundred eleven million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1511 3022 4533 6044 7555 9066 15110 18132 22665 30220 45330 90660 1104247 2208494 3312741 4416988 5521235 6625482 11042470 13250964 16563705 22084940 33127410 66254820 1668517217 3337034434 5005551651 6674068868 8342586085 10011103302 16685172170 20022206604 25027758255 33370344340 50055516510 100111033020