Search a number
-
+
100111121211000 = 23353171962963161
BaseRepresentation
bin10110110000110011101111…
…110100010101111001111000
3111010110112022011110221000010
4112300303233310111321320
5101110210034012223000
6552530225243541520
730041534623640364
oct2660635764257170
9433415264427003
10100111121211000
1129997985039749
12b28a257b2a8a0
1343b2590a0c1c3
141aa1592c962a4
15b891c003cd50
hex5b0cefd15e78

100111121211000 has 128 divisors (see below), whose sum is σ = 330720033533760. Its totient is φ = 25125928448000.

The previous prime is 100111121210977. The next prime is 100111121211029. The reversal of 100111121211000 is 112121111001.

Adding to 100111121211000 its reverse (112121111001), we get a palindrome (100223242322001).

Subtracting from 100111121211000 its reverse (112121111001), we obtain a palindrome (99999000099999).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 981430581 + ... + 981532580.

Almost surely, 2100111121211000 is an apocalyptic number.

100111121211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111121211000 is an abundant number, since it is smaller than the sum of its proper divisors (230608912322760).

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

100111121211000 is a wasteful number, since it uses less digits than its factorization.

100111121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962963202 (or 1962963188 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

The spelling of 100111121211000 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 1962963161 3925926322 5888889483 7851852644 9814815805 11777778966 15703705288 19629631610 23555557932 29444447415 33370373737 39259263220 47111115864 49074079025 58888894830 66740747474 78518526440 98148158050 100111121211 117777789660 133481494948 147222237075 166851868685 196296316100 200222242422 235555579320 245370395125 266962989896 294444474150 333703737370 392592632200 400444484844 490740790250 500555606055 588888948300 667407474740 736111185375 800888969688 834259343425 981481580500 1001111212110 1177777896600 1334814949480 1472222370750 1668518686850 1962963161000 2002222424220 2502778030275 2944444741500 3337037373700 4004444848440 4171296717125 5005556060550 5888889483000 6674074747400 8342593434250 10011112121100 12513890151375 16685186868500 20022224242200 25027780302750 33370373737000 50055560605500 100111121211000