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220103130132 = 2232293118733631
BaseRepresentation
bin1100110011111100101…
…0110011110000010100
3210001010100212111200200
43030333022303300110
512101232400131012
6245040341540500
721621234510564
oct3147712636024
9701110774620
10220103130132
118538852a436
12367a8114730
13179a9195252
14a91dd70da4
155ad32b23dc
hex333f2b3c14

220103130132 has 144 divisors (see below), whose sum is σ = 594604308480. Its totient is φ = 68497228800.

The previous prime is 220103130127. The next prime is 220103130179. The reversal of 220103130132 is 231031301022.

220103130132 is a `hidden beast` number, since 220 + 1 + 0 + 313 + 0 + 132 = 666.

It is a super-3 number, since 3×2201031301323 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60615957 + ... + 60619587.

Almost surely, 2220103130132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220103130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297302154240).

220103130132 is an abundant number, since it is smaller than the sum of its proper divisors (374501178348).

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

220103130132 is a wasteful number, since it uses less digits than its factorization.

220103130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220103130132 its reverse (231031301022), we get a palindrome (451134431154).

The spelling of 220103130132 in words is "two hundred twenty billion, one hundred three million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 1873 2697 3596 3631 3746 5394 5619 7262 7492 8091 10788 10893 11238 14524 16182 16857 21786 22476 32364 32679 33714 43572 54317 58063 65358 67428 105299 108634 112561 116126 130716 162951 174189 210598 217268 225122 232252 315897 325902 337683 348378 421196 450244 488853 522567 631794 651804 675366 696756 947691 977706 1013049 1045134 1263588 1350732 1683827 1895382 1955412 2026098 2090268 3264269 3367654 3790764 4052196 5051481 6528538 6735308 6800863 9792807 10102962 13057076 13601726 15154443 19585614 20205924 20402589 27203452 29378421 30308886 39171228 40805178 58756842 60617772 61207767 81610356 117513684 122415534 197225027 210826753 244831068 394450054 421653506 591675081 632480259 788900108 843307012 1183350162 1264960518 1775025243 1897440777 2366700324 2529921036 3550050486 3794881554 6113975837 7100100972 7589763108 12227951674 18341927511 24455903348 36683855022 55025782533 73367710044 110051565066 220103130132