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12311012101020 = 22351075473505673
BaseRepresentation
bin1011001100100110000110…
…0000001100101110011100
31121120220212121012211020220
42303021201200030232130
53103200423044213040
642103333442441340
72410304233160553
oct263114140145634
947526777184226
1012311012101020
113a17086424636
121469b59063250
136b3c00ac1aa9
14307bdb460d9a
1516538725e2d0
hexb326180cb9c

12311012101020 has 96 divisors (see below), whose sum is σ = 34856608082688. Its totient is φ = 3246308362752.

The previous prime is 12311012100967. The next prime is 12311012101027. The reversal of 12311012101020 is 2010121011321.

It is a super-2 number, since 2×123110121010202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311012101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1758904 + ... + 5264576.

It is an arithmetic number, because the mean of its divisors is an integer number (363089667528).

Almost surely, 212311012101020 is an apocalyptic number.

12311012101020 is a gapful number since it is divisible by the number (10) 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 12311012101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428304041344).

12311012101020 is an abundant number, since it is smaller than the sum of its proper divisors (22545595981668).

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

12311012101020 is a wasteful number, since it uses less digits than its factorization.

12311012101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506339 (or 3506337 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12311012101020 its reverse (2010121011321), we get a palindrome (14321133112341).

The spelling of 12311012101020 in words is "twelve trillion, three hundred eleven billion, twelve million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 547 642 1070 1094 1284 1605 1641 2140 2188 2735 3210 3282 5470 6420 6564 8205 10940 16410 32820 58529 117058 175587 234116 292645 351174 585290 702348 877935 1170580 1755870 3505673 3511740 7011346 10517019 14022692 17528365 21034038 35056730 42068076 52585095 70113460 105170190 210340380 375107011 750214022 1125321033 1500428044 1875535055 1917603131 2250642066 3751070110 3835206262 4501284132 5626605165 5752809393 7502140220 7670412524 9588015655 11253210330 11505618786 19176031310 22506420660 23011237572 28764046965 38352062620 57528093930 115056187860 205183535017 410367070034 615550605051 820734140068 1025917675085 1231101210102 2051835350170 2462202420204 3077753025255 4103670700340 6155506050510 12311012101020