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100110211212 = 2231131199122939
BaseRepresentation
bin101110100111100001…
…0001001100010001100
3100120101212000122121110
41131033002021202030
53120011203224322
6113553501132020
710142552516664
oct1351702114214
9316355018543
10100110211212
1139502671450
121749a85a010
1395955b9c8b
144bb994d1a4
15290dc59c0c
hex174f08988c

100110211212 has 96 divisors (see below), whose sum is σ = 264370176000. Its totient is φ = 29210068800.

The previous prime is 100110211093. The next prime is 100110211241. The reversal of 100110211212 is 212112011001.

It is a super-2 number, since 2×1001102112122 (a number of 23 digits) contains 22 as substring.

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

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, 752839 + ... + 875777.

It is an arithmetic number, because the mean of its divisors is an integer number (2753856000).

Almost surely, 2100110211212 is an apocalyptic number.

100110211212 is a gapful number since it is divisible by the number (12) 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 100110211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132185088000).

100110211212 is an abundant number, since it is smaller than the sum of its proper divisors (164259964788).

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

100110211212 is a wasteful number, since it uses less digits than its factorization.

100110211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123187 (or 123185 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100110211212 its reverse (212112011001), we get a palindrome (312222222213).

The spelling of 100110211212 in words is "one hundred billion, one hundred ten million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 199 341 372 398 597 682 796 1023 1194 1364 2046 2189 2388 4092 4378 6169 6567 8756 12338 13134 18507 24676 26268 37014 67859 74028 122939 135718 203577 245878 271436 368817 407154 491756 737634 814308 1352329 1475268 2704658 3811109 4056987 5409316 7622218 8113974 11433327 15244436 16227948 22866654 24464861 41922199 45733308 48929722 73394583 83844398 97859444 125766597 146789166 167688796 251533194 269113471 293578332 503066388 538226942 758410691 807340413 1076453884 1516821382 1614680826 2275232073 3033642764 3229361652 4550464146 8342517601 9100928292 16685035202 25027552803 33370070404 50055105606 100110211212