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101013313212 = 22327257263783
BaseRepresentation
bin101111000010011011…
…1001101011010111100
3100122201210100222122200
41132010313031122330
53123333402010322
6114223241511500
710204126665300
oct1360467153274
9318653328580
10101013313212
1139926422339
12176b11a2590
1396aa72b566
144c63875d00
15296319a8ac
hex1784dcd6bc

101013313212 has 54 divisors (see below), whose sum is σ = 297027247608. Its totient is φ = 28860946128.

The previous prime is 101013313207. The next prime is 101013313253. The reversal of 101013313212 is 212313310101.

101013313212 is a `hidden beast` number, since 1 + 0 + 10 + 1 + 331 + 321 + 2 = 666.

It is a super-2 number, since 2×1010133132122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28630128 + ... + 28633655.

Almost surely, 2101013313212 is an apocalyptic number.

101013313212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101013313212 is an abundant number, since it is smaller than the sum of its proper divisors (196013934396).

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

101013313212 is a wasteful number, since it uses less digits than its factorization.

101013313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57263807 (or 57263795 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101013313212 its reverse (212313310101), we get a palindrome (313326623313).

The spelling of 101013313212 in words is "one hundred one billion, thirteen million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 57263783 114527566 171791349 229055132 343582698 400846481 515374047 687165396 801692962 1030748094 1202539443 1603385924 2061496188 2405078886 2805925367 3607618329 4810157772 5611850734 7215236658 8417776101 11223701468 14430473316 16835552202 25253328303 33671104404 50506656606 101013313212