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100001110100100 = 2235211117312583187
BaseRepresentation
bin10110101111001101010010…
…101001010000100010000100
3111010002000100022011110100020
4112233031102221100202010
5101101404233141200400
6552403513100015140
730030561505632546
oct2657152251204204
9433060308143306
10100001110100100
112995526169a880
12b270a755314b0
1343a50ab121c01
141a9a11841d696
15b863d1e9d2a0
hex5af352a50884

100001110100100 has 144 divisors (see below), whose sum is σ = 315666896192256. Its totient is φ = 24240617424000.

The previous prime is 100001110100069. The next prime is 100001110100119. The reversal of 100001110100100 is 1001011100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 37420707 + ... + 40003893.

Almost surely, 2100001110100100 is an apocalyptic number.

100001110100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001110100100 is an abundant number, since it is smaller than the sum of its proper divisors (215665786092156).

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

100001110100100 is a wasteful number, since it uses less digits than its factorization.

100001110100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594946 (or 2594939 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100001110100100 its reverse (1001011100001), we get a palindrome (101002121200101).

Subtracting from 100001110100100 its reverse (1001011100001), we obtain a palindrome (99000099000099).

It can be divided in two parts, 1000011 and 10100100, that added together give a palindrome (11100111).

The spelling of 100001110100100 in words is "one hundred trillion, one billion, one hundred ten million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 11731 23462 35193 46924 58655 70386 117310 129041 140772 175965 234620 258082 293275 351930 387123 516164 586550 645205 703860 774246 879825 1173100 1290410 1548492 1759650 1935615 2580820 2583187 3226025 3519300 3871230 5166374 6452050 7742460 7749561 9678075 10332748 12904100 12915935 15499122 19356150 25831870 28415057 30998244 38712300 38747805 51663740 56830114 64579675 77495610 85245171 113660228 129159350 142075285 154991220 170490342 193739025 258318700 284150570 340980684 387478050 426225855 568301140 710376425 774956100 852451710 1420752850 1704903420 2131129275 2841505700 4262258550 8524517100 30303366697 60606733394 90910100091 121213466788 151516833485 181820200182 303033666970 333337033667 363640400364 454550500455 606067333940 666674067334 757584167425 909101000910 1000011101001 1333348134668 1515168334850 1666685168335 1818202001820 2000022202002 2272752502275 3030336669700 3333370336670 4000044404004 4545505004550 5000055505005 6666740673340 8333425841675 9091010009100 10000111010010 16666851683350 20000222020020 25000277525025 33333703366700 50000555050050 100001110100100