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101007700080 = 24357371624963
BaseRepresentation
bin101111000010010000…
…1110011000001110000
3100122201101210210212220
41132010201303001300
53123330432400310
6114222521321040
710204031166420
oct1360441630160
9318641723786
10101007700080
1139923239091
12176ab336180
1396a9514691
144c62c14480
15296293c670
hex1784873070

101007700080 has 160 divisors (see below), whose sum is σ = 367527857664. Its totient is φ = 22463474688.

The previous prime is 101007700049. The next prime is 101007700093. The reversal of 101007700080 is 80007700101.

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 101007700080.

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, 750322 + ... + 874641.

Almost surely, 2101007700080 is an apocalyptic number.

101007700080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101007700080 is an abundant number, since it is smaller than the sum of its proper divisors (266520157584).

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

101007700080 is a wasteful number, since it uses less digits than its factorization.

101007700080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625023 (or 1625017 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The spelling of 101007700080 in words is "one hundred one billion, seven million, seven hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3885 4144 4440 5180 6216 7770 8880 10360 12432 15540 20720 31080 62160 1624963 3249926 4874889 6499852 8124815 9749778 11374741 12999704 16249630 19499556 22749482 24374445 25999408 32499260 34124223 38999112 45498964 48748890 56873705 60123631 64998520 68248446 77998224 90997928 97497780 113747410 120247262 129997040 136496892 170621115 180370893 181995856 194995560 227494820 240494524 272993784 300618155 341242230 360741786 389991120 420865417 454989640 480989048 545987568 601236310 682484460 721483572 841730834 901854465 909979280 961978096 1202472620 1262596251 1364968920 1442967144 1683461668 1803708930 2104327085 2404945240 2525192502 2729937840 2885934288 3366923336 3607417860 4208654170 4809890480 5050385004 6312981255 6733846672 7214835720 8417308340 10100770008 12625962510 14429671440 16834616680 20201540016 25251925020 33669233360 50503850040 101007700080