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100001055560 = 23573474332377
BaseRepresentation
bin101110100100010000…
…1110000001101001000
3100120010020121222012112
41131020201300031020
53114300232234220
6113535001401452
710140055642640
oct1351041601510
9316106558175
10100001055560
1139456a9716a
121746a199288
139578abc033
144ba9257520
1529043975c5
hex1748870348

100001055560 has 128 divisors (see below), whose sum is σ = 258590949120. Its totient is φ = 34093965312.

The previous prime is 100001055523. The next prime is 100001055589. The reversal of 100001055560 is 65550100001.

100001055560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000010555602 (a number of 23 digits) contains 22 as substring.

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, 42069092 + ... + 42071468.

It is an arithmetic number, because the mean of its divisors is an integer number (2020241790).

Almost surely, 2100001055560 is an apocalyptic number.

100001055560 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 100001055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129295474560).

100001055560 is an abundant number, since it is smaller than the sum of its proper divisors (158589893560).

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

100001055560 is a wasteful number, since it uses less digits than its factorization.

100001055560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 100001055560 its reverse (65550100001), we get a palindrome (165551155561).

The spelling of 100001055560 in words is "one hundred billion, one million, fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 347 433 694 866 1388 1732 1735 2165 2377 2429 2776 3031 3464 3470 4330 4754 4858 6062 6940 8660 9508 9716 11885 12124 12145 13880 15155 16639 17320 19016 19432 23770 24248 24290 30310 33278 47540 48580 60620 66556 83195 95080 97160 121240 133112 150251 166390 300502 332780 601004 665560 751255 824819 1029241 1051757 1202008 1502510 1649638 2058482 2103514 3005020 3299276 4116964 4124095 4207028 5146205 5258785 5773733 6010040 6598552 7204687 8233928 8248190 8414056 10292410 10517570 11547466 14409374 16496380 20584820 21035140 23094932 28818748 28868665 32992760 36023435 41169640 42070280 46189864 57637496 57737330 72046870 115474660 144093740 230949320 288187480 357146627 714293254 1428586508 1785733135 2500026389 2857173016 3571466270 5000052778 7142932540 10000105556 12500131945 14285865080 20000211112 25000263890 50000527780 100001055560