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11120213231010 = 23251321699430319
BaseRepresentation
bin1010000111010010000001…
…0111000000010110100010
31110101002012210001112202200
42201310200113000112202
52424143144041343020
635352315550154030
72225260151610432
oct241644027002642
943332183045680
1011120213231010
1135a8068513704
1212b7208ab2916
13628829848b00
142a6314d462c2
151443e022e590
hexa1d205c05a2

11120213231010 has 144 divisors (see below), whose sum is σ = 31326177168000. Its totient is φ = 2735665785216.

The previous prime is 11120213230957. The next prime is 11120213231089. The reversal of 11120213231010 is 1013231202111.

11120213231010 is a `hidden beast` number, since 1 + 11 + 202 + 132 + 310 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25626631 + ... + 26056949.

It is an arithmetic number, because the mean of its divisors is an integer number (217542897000).

Almost surely, 211120213231010 is an apocalyptic number.

11120213231010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120213231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663088584000).

11120213231010 is an abundant number, since it is smaller than the sum of its proper divisors (20205963936990).

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

11120213231010 is a wasteful number, since it uses less digits than its factorization.

11120213231010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432057 (or 432041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11120213231010 its reverse (1013231202111), we get a palindrome (12133444433121).

The spelling of 11120213231010 in words is "eleven trillion, one hundred twenty billion, two hundred thirteen million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 1699 2535 3042 3398 5070 5097 7605 8495 10194 15210 15291 16990 22087 25485 30582 44174 50970 66261 76455 110435 132522 152910 198783 220870 287131 331305 397566 430319 574262 662610 860638 861393 993915 1290957 1435655 1722786 1987830 2151595 2581914 2584179 2871310 3872871 4303190 4306965 5168358 5594147 6454785 7745742 8613930 11188294 12909570 12920895 16782441 19364355 25841790 27970735 33564882 38728710 50347323 55941470 72723911 83912205 100694646 145447822 167824410 218171733 251736615 363619555 436343466 503473230 654515199 727239110 731111981 1090858665 1309030398 1462223962 2181717330 2193335943 3272575995 3655559905 4386671886 6545151990 6580007829 7311119810 9504455753 10966679715 13160015658 19008911506 21933359430 28513367259 32900039145 47522278765 57026734518 65800078290 85540101777 95044557530 123557924789 142566836295 171080203554 247115849578 285133672590 370673774367 427700508885 617789623945 741347548734 855401017770 1112021323101 1235579247890 1853368871835 2224042646202 3706737743670 5560106615505 11120213231010