Search a number
-
+
10050100105560 = 23351913491256407
BaseRepresentation
bin1001001000111111100010…
…1001011001000101011000
31022120210001202102022110120
42102033320221121011120
52304130101111334220
633212541404113240
72055044564252064
oct222177051310530
938523052368416
1010050100105560
11322525055a939
12116393a235820
1357b949877ab8
1426a5dac7aaa4
1512665d4ada40
hex923f8a59158

10050100105560 has 128 divisors (see below), whose sum is σ = 30395022336000. Its totient is φ = 2658354071040.

The previous prime is 10050100105541. The next prime is 10050100105589. The reversal of 10050100105560 is 6550100105001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10050100105560.

It is a congruent number.

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, 7370877 + ... + 8627283.

It is an arithmetic number, because the mean of its divisors is an integer number (237461112000).

Almost surely, 210050100105560 is an apocalyptic number.

10050100105560 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 10050100105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197511168000).

10050100105560 is an abundant number, since it is smaller than the sum of its proper divisors (20344922230440).

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

10050100105560 is a wasteful number, since it uses less digits than its factorization.

10050100105560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256961 (or 1256957 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 10050100105560 in words is "ten trillion, fifty billion, one hundred million, one hundred five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 349 382 573 698 764 955 1047 1146 1396 1528 1745 1910 2094 2292 2792 2865 3490 3820 4188 4584 5235 5730 6980 7640 8376 10470 11460 13960 20940 22920 41880 66659 133318 199977 266636 333295 399954 533272 666590 799908 999885 1256407 1333180 1599816 1999770 2512814 2666360 3769221 3999540 5025628 6282035 7538442 7999080 10051256 12564070 15076884 18846105 25128140 30153768 37692210 50256280 75384420 150768840 239973737 438486043 479947474 719921211 876972086 959894948 1199868685 1315458129 1439842422 1753944172 1919789896 2192430215 2399737370 2630916258 2879684844 3507888344 3599606055 4384860430 4799474740 5261832516 5759369688 6577290645 7199212110 8769720860 9598949480 10523665032 13154581290 14398424220 17539441720 26309162580 28796848440 52618325160 83750834213 167501668426 251252502639 335003336852 418754171065 502505005278 670006673704 837508342130 1005010010556 1256262513195 1675016684260 2010020021112 2512525026390 3350033368520 5025050052780 10050100105560