Search a number
-
+
10113943080 = 2335281307977
BaseRepresentation
bin10010110101101011…
…01000011000101000
3222002212011112122110
421122311220120220
5131203132134310
64351332522320
7505430045343
oct113265503050
928085145573
1010113943080
11432006a14a
121b631803a0
13c524a3507
146bd34345a
153e2db8d20
hex25ad68628

10113943080 has 128 divisors (see below), whose sum is σ = 30580260480. Its totient is φ = 2675957760.

The previous prime is 10113943039. The next prime is 10113943123. The reversal of 10113943080 is 8034931101.

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, 10351552 + ... + 10352528.

It is an arithmetic number, because the mean of its divisors is an integer number (238908285).

Almost surely, 210113943080 is an apocalyptic number.

10113943080 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 10113943080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290130240).

10113943080 is an abundant number, since it is smaller than the sum of its proper divisors (20466317400).

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

10113943080 is a wasteful number, since it uses less digits than its factorization.

10113943080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 10113943080 in words is "ten billion, one hundred thirteen million, nine hundred forty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 307 562 614 843 921 977 1124 1228 1405 1535 1686 1842 1954 2248 2456 2810 2931 3070 3372 3684 3908 4215 4605 4885 5620 5862 6140 6744 7368 7816 8430 9210 9770 11240 11724 12280 14655 16860 18420 19540 23448 29310 33720 36840 39080 58620 86267 117240 172534 258801 274537 299939 345068 431335 517602 549074 599878 690136 823611 862670 899817 1035204 1098148 1199756 1294005 1372685 1499695 1647222 1725340 1799634 2070408 2196296 2399512 2588010 2745370 2999390 3294444 3450680 3599268 4118055 4499085 5176020 5490740 5998780 6588888 7198536 8236110 8998170 10352040 10981480 11997560 16472220 17996340 32944440 35992680 84282859 168565718 252848577 337131436 421414295 505697154 674262872 842828590 1011394308 1264242885 1685657180 2022788616 2528485770 3371314360 5056971540 10113943080