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100632063540 = 22355331645303
BaseRepresentation
bin101110110111000100…
…0110110111000110100
3100121202012222111102110
41131232020312320310
53122043302013130
6114121342211020
710161520266231
oct1355610667064
9317665874373
10100632063540
11397501a3868
1217605583a70
139649753638
144c28d92788
15293e98cab0
hex176e236e34

100632063540 has 48 divisors (see below), whose sum is σ = 287086197888. Its totient is φ = 26328891264.

The previous prime is 100632063523. The next prime is 100632063547. The reversal of 100632063540 is 45360236001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100632063498 and 100632063507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100632063547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15819472 + ... + 15825831.

It is an arithmetic number, because the mean of its divisors is an integer number (5980962456).

Almost surely, 2100632063540 is an apocalyptic number.

100632063540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100632063540 is an abundant number, since it is smaller than the sum of its proper divisors (186454134348).

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

100632063540 is a wasteful number, since it uses less digits than its factorization.

100632063540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31645368 (or 31645366 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 100632063540 its reverse (45360236001), we get a palindrome (145992299541).

The spelling of 100632063540 in words is "one hundred billion, six hundred thirty-two million, sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 31645303 63290606 94935909 126581212 158226515 189871818 316453030 379743636 474679545 632906060 949359090 1677201059 1898718180 3354402118 5031603177 6708804236 8386005295 10063206354 16772010590 20126412708 25158015885 33544021180 50316031770 100632063540