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100011110200020 = 223258352253128111
BaseRepresentation
bin10110101111010110100110…
…101100100111001011010100
3111010002222011020010011112100
4112233112212230213023110
5101102040223202400040
6552412245244522100
730031364354242035
oct2657264654471324
9433088136104470
10100011110200020
1129959523472968
12b2729a6550330
1343a6012b459b6
141a9a7c65aaa8c
15b867b9d7ab30
hex5af5a6b272d4

100011110200020 has 144 divisors (see below), whose sum is σ = 307030331043072. Its totient is φ = 26347598641920.

The previous prime is 100011110199961. The next prime is 100011110200037. The reversal of 100011110200020 is 20002011110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100011110199975 and 100011110200011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780595765 + ... + 780723875.

It is an arithmetic number, because the mean of its divisors is an integer number (2132155076688).

Almost surely, 2100011110200020 is an apocalyptic number.

100011110200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011110200020 is an abundant number, since it is smaller than the sum of its proper divisors (207019220843052).

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

100011110200020 is a wasteful number, since it uses less digits than its factorization.

100011110200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180462 (or 180457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011110200020 its reverse (20002011110001), we get a palindrome (120013121310021).

The spelling of 100011110200020 in words is "one hundred trillion, eleven billion, one hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 52253 104506 128111 156759 209012 256222 261265 313518 384333 470277 512444 522530 627036 640555 768666 783795 940554 1045060 1152999 1281110 1537332 1567590 1881108 1921665 2305998 2351385 2562220 3135180 3843330 4336999 4611996 4702770 5764995 7686660 8673998 9405540 10633213 11529990 13010997 17347996 21266426 21684995 23059980 26021994 31899639 39032991 42532852 43369990 52043988 53166065 63799278 65054985 78065982 86739980 95698917 106332130 127598556 130109970 156131964 159498195 191397834 195164955 212664260 260219940 318996390 382795668 390329910 478494585 637992780 780659820 956989170 1913978340 6694184083 13388368166 20082552249 26776736332 33470920415 40165104498 60247656747 66941840830 80330208996 100412761245 120495313494 133883681660 200825522490 240990626988 301238283735 401651044980 555617278889 602476567470 1111234557778 1204953134940 1666851836667 2222469115556 2778086394445 3333703673334 5000555510001 5556172788890 6667407346668 8334259183335 10001111020002 11112345577780 16668518366670 20002222040004 25002777550005 33337036733340 50005555100010 100011110200020