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100132203011220 = 223253715034865317
BaseRepresentation
bin10110110001000111011000…
…011001000001110010010100
3111010112112201101121100011200
4112301013120121001302110
5101111031222432324340
6552544033220032500
730043212223166652
oct2661073031016224
9433475641540150
10100132203011220
11299a5913182236
12b292360232730
1343b45705648c3
141aa25d2adddd2
15b89a05c47330
hex5b11d8641c94

100132203011220 has 72 divisors (see below), whose sum is σ = 311943385617864. Its totient is φ = 25980247266048.

The previous prime is 100132203011129. The next prime is 100132203011227. The reversal of 100132203011220 is 22110302231001.

100132203011220 is a `hidden beast` number, since 10 + 0 + 1 + 322 + 0 + 301 + 12 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20329890641424 + 79802312369796 = 4508868^2 + 8933214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100132203011193 and 100132203011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132203011227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7517425999 + ... + 7517439318.

Almost surely, 2100132203011220 is an apocalyptic number.

100132203011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132203011220 is an abundant number, since it is smaller than the sum of its proper divisors (211811182606644).

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

100132203011220 is a wasteful number, since it uses less digits than its factorization.

100132203011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15034865369 (or 15034865364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100132203011220 its reverse (22110302231001), we get a palindrome (122242505242221).

The spelling of 100132203011220 in words is "one hundred trillion, one hundred thirty-two billion, two hundred three million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 15034865317 30069730634 45104595951 60139461268 75174326585 90209191902 135313787853 150348653170 180418383804 225522979755 270627575706 300697306340 451045959510 541255151412 556290016729 676568939265 902091919020 1112580033458 1353137878530 1668870050187 2225160066916 2706275757060 2781450083645 3337740100374 5006610150561 5562900167290 6675480200748 8344350250935 10013220301122 11125800334580 16688700501870 20026440602244 25033050752805 33377401003740 50066101505610 100132203011220