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11109403920 = 2435378315073
BaseRepresentation
bin10100101100010110…
…00000110100010000
31001200020022012012110
422112023000310100
5140223001411140
65034213025320
7542205242466
oct122613006420
931606265173
1011109403920
114790a7265a
1221a0625240
1310807b15b4
1477562c836
154504a0380
hex2962c0d10

11109403920 has 160 divisors (see below), whose sum is σ = 35798458752. Its totient is φ = 2847522816.

The previous prime is 11109403919. The next prime is 11109403937. The reversal of 11109403920 is 2930490111.

It is a super-2 number, since 2×111094039202 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729504 + ... + 744576.

Almost surely, 211109403920 is an apocalyptic number.

11109403920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17899229376).

11109403920 is an abundant number, since it is smaller than the sum of its proper divisors (24689054832).

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

11109403920 is a wasteful number, since it uses less digits than its factorization.

11109403920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15209 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 11109403920 in words is "eleven billion, one hundred nine million, four hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 83 111 120 148 166 185 222 240 249 296 332 370 415 444 498 555 592 664 740 830 888 996 1110 1245 1328 1480 1660 1776 1992 2220 2490 2960 3071 3320 3984 4440 4980 6142 6640 8880 9213 9960 12284 15073 15355 18426 19920 24568 30146 30710 36852 45219 46065 49136 60292 61420 73704 75365 90438 92130 120584 122840 147408 150730 180876 184260 226095 241168 245680 301460 361752 368520 452190 557701 602920 723504 737040 904380 1115402 1205840 1251059 1673103 1808760 2230804 2502118 2788505 3346206 3617520 3753177 4461608 5004236 5577010 6255295 6692412 7506354 8365515 8923216 10008472 11154020 12510590 13384824 15012708 16731030 18765885 20016944 22308040 25021180 26769648 30025416 33462060 37531770 44616080 46289183 50042360 60050832 66924120 75063540 92578366 100084720 133848240 138867549 150127080 185156732 231445915 277735098 300254160 370313464 462891830 555470196 694337745 740626928 925783660 1110940392 1388675490 1851567320 2221880784 2777350980 3703134640 5554701960 11109403920