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1213234772040 = 233254337783133
BaseRepresentation
bin10001101001111010011…
…011010111100001001000
311021222120102021012010200
4101221322123113201020
5124334201100201130
62325204035412200
7153440042260164
oct21517233274110
94258512235120
101213234772040
11428591444225
12177171a54060
138a53b4c9a75
1442a14127ca4
152185ba64760
hex11a7a6d7848

1213234772040 has 96 divisors (see below), whose sum is σ = 3952119782520. Its totient is φ = 322782050304.

The previous prime is 1213234772033. The next prime is 1213234772047. The reversal of 1213234772040 is 402774323121.

1213234772040 is a `hidden beast` number, since 1 + 213 + 234 + 7 + 7 + 204 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1213234772033) and next prime (1213234772047).

It can be written as a sum of positive squares in 4 ways, for example, as 587329107876 + 625905664164 = 766374^2 + 791142^2 .

It is a super-2 number, since 2×12132347720402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1213234771986 and 1213234772004.

It is not an unprimeable number, because it can be changed into a prime (1213234772047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3735687 + ... + 4047446.

Almost surely, 21213234772040 is an apocalyptic number.

1213234772040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213234772040 is an abundant number, since it is smaller than the sum of its proper divisors (2738885010480).

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

1213234772040 is a wasteful number, since it uses less digits than its factorization.

1213234772040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783583 (or 7783576 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 1213234772040 in words is "one trillion, two hundred thirteen billion, two hundred thirty-four million, seven hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 433 866 1299 1732 2165 2598 3464 3897 4330 5196 6495 7794 8660 10392 12990 15588 17320 19485 25980 31176 38970 51960 77940 155880 7783133 15566266 23349399 31132532 38915665 46698798 62265064 70048197 77831330 93397596 116746995 140096394 155662660 186795192 233493990 280192788 311325320 350240985 466987980 560385576 700481970 933975960 1400963940 2801927880 3370096589 6740193178 10110289767 13480386356 16850482945 20220579534 26960772712 30330869301 33700965890 40441159068 50551448835 60661738602 67401931780 80882318136 101102897670 121323477204 134803863560 151654346505 202205795340 242646954408 303308693010 404411590680 606617386020 1213234772040