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10302311412 = 2232899733149
BaseRepresentation
bin10011001100001000…
…01100101111110100
3222120222121122102100
421212010030233310
5132044342431122
64422142142100
7513205126221
oct114604145764
928528548370
1010302311412
114407428058
121bb6281930
13c82517373
146da378948
154046c6aac
hex26610cbf4

10302311412 has 72 divisors (see below), whose sum is σ = 26606853000. Its totient is φ = 3360411648.

The previous prime is 10302311387. The next prime is 10302311417. The reversal of 10302311412 is 21411320301.

10302311412 is a `hidden beast` number, since 10 + 302 + 311 + 41 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2967416676 + 7334894736 = 54474^2 + 85644^2 .

It is a super-2 number, since 2×103023114122 (a number of 21 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 not an unprimeable number, because it can be changed into a prime (10302311417) 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, 294214 + ... + 327362.

It is an arithmetic number, because the mean of its divisors is an integer number (369539625).

Almost surely, 210302311412 is an apocalyptic number.

10302311412 is a gapful number since it is divisible by the number (12) 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 10302311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13303426500).

10302311412 is an abundant number, since it is smaller than the sum of its proper divisors (16304541588).

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

10302311412 is a wasteful number, since it uses less digits than its factorization.

10302311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33345 (or 33340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10302311412 its reverse (21411320301), we get a palindrome (31713631713).

The spelling of 10302311412 in words is "ten billion, three hundred two million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 97 178 194 267 291 356 388 534 582 801 873 1068 1164 1602 1746 3204 3492 8633 17266 25899 33149 34532 51798 66298 77697 99447 103596 132596 155394 198894 298341 310788 397788 596682 1193364 2950261 3215453 5900522 6430906 8850783 9646359 11801044 12861812 17701566 19292718 26552349 28939077 35403132 38585436 53104698 57878154 106209396 115756308 286175317 572350634 858525951 1144701268 1717051902 2575577853 3434103804 5151155706 10302311412