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1212110031020 = 2257171097464257
BaseRepresentation
bin10001101000110111011…
…000110100100010101100
311021212200000212102111212
4101220313120310202230
5124324400131443040
62324500300333552
7153400134160640
oct21506730644254
94255600772455
101212110031020
11428064570699
12176ab92442b8
138a3bc495a35
14429489c8c20
15217e2e42d65
hex11a376348ac

1212110031020 has 96 divisors (see below), whose sum is σ = 3082999957632. Its totient is φ = 390777274368.

The previous prime is 1212110030987. The next prime is 1212110031107. The reversal of 1212110031020 is 201300112121.

It is a super-3 number, since 3×12121100310203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1212110030986 and 1212110031004.

It is an unprimeable number.

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, 2378732 + ... + 2842988.

It is an arithmetic number, because the mean of its divisors is an integer number (32114582892).

Almost surely, 21212110031020 is an apocalyptic number.

1212110031020 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 1212110031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541499978816).

1212110031020 is an abundant number, since it is smaller than the sum of its proper divisors (1870889926612).

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

1212110031020 is a wasteful number, since it uses less digits than its factorization.

1212110031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465387 (or 465385 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1212110031020 its reverse (201300112121), we get a palindrome (1413410143141).

The spelling of 1212110031020 in words is "one trillion, two hundred twelve billion, one hundred ten million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1097 1190 2194 2380 4388 5485 7679 10970 15358 18649 21940 30716 37298 38395 74596 76790 93245 130543 153580 186490 261086 372980 464257 522172 652715 928514 1305430 1857028 2321285 2610860 3249799 4642570 6499598 7892369 9285140 12999196 15784738 16248995 31569476 32497990 39461845 55246583 64995980 78923690 110493166 157847380 220986332 276232915 509289929 552465830 1018579858 1104931660 2037159716 2546449645 3565029503 5092899290 7130059006 8657928793 10185798580 14260118012 17315857586 17825147515 34631715172 35650295030 43289643965 60605501551 71300590060 86579287930 121211003102 173158575860 242422006204 303027507755 606055015510 1212110031020