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1213410435102 = 234157320914867
BaseRepresentation
bin10001101010000100111…
…001011110000000011110
311022000000122210210120000
4101222010321132000132
5124340031032410402
62325233312435130
7153444304343325
oct21520471360036
94260018723500
101213410435102
11428671614508
12177200848aa6
138a568a128c8
1442a2d5b30bc
152186c1b2c1c
hex11a84e5e01e

1213410435102 has 80 divisors (see below), whose sum is σ = 2737293063120. Its totient is φ = 401741638272.

The previous prime is 1213410435091. The next prime is 1213410435121. The reversal of 1213410435102 is 2015340143121.

1213410435102 is a `hidden beast` number, since 1 + 2 + 134 + 10 + 4 + 3 + 510 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81610273 + ... + 81625139.

It is an arithmetic number, because the mean of its divisors is an integer number (34216163289).

Almost surely, 21213410435102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213410435102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368646531560).

1213410435102 is an abundant number, since it is smaller than the sum of its proper divisors (1523882628018).

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

1213410435102 is a wasteful number, since it uses less digits than its factorization.

1213410435102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18247 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1213410435102 its reverse (2015340143121), we get a palindrome (3228750578223).

The spelling of 1213410435102 in words is "one trillion, two hundred thirteen billion, four hundred ten million, four hundred thirty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 314 471 942 1413 2826 3209 4239 6418 8478 9627 12717 14867 19254 25434 28881 29734 44601 57762 86643 89202 133803 173286 259929 267606 401409 503813 519858 802818 1007626 1204227 1511439 2334119 2408454 3022878 4534317 4668238 7002357 9068634 13602951 14004714 21007071 27205902 40808853 42014142 47708203 63021213 81617706 95416406 126042426 143124609 189063639 286249218 378127278 429373827 858747654 1288121481 2576242962 3864364443 7490187871 7728728886 14980375742 22470563613 44941127226 67411690839 134823381678 202235072517 404470145034 606705217551 1213410435102