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11032074120 = 2335198095981
BaseRepresentation
bin10100100011001000…
…00001011110001000
31001110211210102122210
422101210001132020
5140043202332440
65022411345120
7540246040254
oct122144013610
931424712583
1011032074120
114751355631
12217a7521a0
13106a777712
1476925d264
154487c7a80
hex291901788

11032074120 has 128 divisors (see below), whose sum is σ = 34887024000. Its totient is φ = 2783139840.

The previous prime is 11032074103. The next prime is 11032074143. The reversal of 11032074120 is 2147023011.

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, 1841530 + ... + 1847510.

It is an arithmetic number, because the mean of its divisors is an integer number (272554875).

Almost surely, 211032074120 is an apocalyptic number.

11032074120 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 11032074120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443512000).

11032074120 is an abundant number, since it is smaller than the sum of its proper divisors (23854949880).

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

11032074120 is a wasteful number, since it uses less digits than its factorization.

11032074120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 11032074120 its reverse (2147023011), we get a palindrome (13179097131).

The spelling of 11032074120 in words is "eleven billion, thirty-two million, seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 809 1140 1618 2280 2427 3236 4045 4854 5981 6472 8090 9708 11962 12135 15371 16180 17943 19416 23924 24270 29905 30742 32360 35886 46113 47848 48540 59810 61484 71772 76855 89715 92226 97080 113639 119620 122968 143544 153710 179430 184452 227278 230565 239240 307420 340917 358860 368904 454556 461130 568195 614840 681834 717720 909112 922260 1136390 1363668 1704585 1844520 2272780 2727336 3409170 4545560 4838629 6818340 9677258 13636680 14515887 19354516 24193145 29031774 38709032 48386290 58063548 72579435 91933951 96772580 116127096 145158870 183867902 193545160 275801853 290317740 367735804 459669755 551603706 580635480 735471608 919339510 1103207412 1379009265 1838679020 2206414824 2758018530 3677358040 5516037060 11032074120