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101211111312 = 2438059261641
BaseRepresentation
bin101111001000010100…
…1101111111110010000
3100200020120120011122020
41132100221233332100
53124240021030222
6114255025211440
710212051152163
oct1362051577620
9320216504566
10101211111312
1139a18040a43
1217747490b80
13970c6c455c
144c81c43ada
15297571c65c
hex1790a6ff90

101211111312 has 40 divisors (see below), whose sum is σ = 261495480480. Its totient is φ = 33732721920.

The previous prime is 101211111307. The next prime is 101211111361. The reversal of 101211111312 is 213111112101.

It is a super-2 number, since 2×1012111113122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211111291 and 101211111300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256012 + ... + 517652.

It is an arithmetic number, because the mean of its divisors is an integer number (6537387012).

Almost surely, 2101211111312 is an apocalyptic number.

101211111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101211111312 is an abundant number, since it is smaller than the sum of its proper divisors (160284369168).

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

101211111312 is a wasteful number, since it uses less digits than its factorization.

101211111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269711 (or 269705 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 101211111312 its reverse (213111112101), we get a palindrome (314322223413).

The spelling of 101211111312 in words is "one hundred one billion, two hundred eleven million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 8059 16118 24177 32236 48354 64472 96708 128944 193416 261641 386832 523282 784923 1046564 1569846 2093128 3139692 4186256 6279384 12558768 2108564819 4217129638 6325694457 8434259276 12651388914 16868518552 25302777828 33737037104 50605555656 101211111312