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3430020233112 = 2331147405168239
BaseRepresentation
bin110001111010011101001…
…000110011011110011000
3110010220111000012111102120
4301322131020303132120
5422144140134424422
611143421325301240
7502545045633444
oct61723510633630
913126430174376
103430020233112
111102733001590
12474916a04820
131bb5ac798895
14bc02a08d824
155e35191145c
hex31e9d233798

3430020233112 has 128 divisors (see below), whose sum is σ = 9556133068800. Its totient is φ = 1017019152000.

The previous prime is 3430020233111. The next prime is 3430020233113. The reversal of 3430020233112 is 2113320200343.

It is an interprime number because it is at equal distance from previous prime (3430020233111) and next prime (3430020233113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430020233111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50230689 + ... + 50298927.

It is an arithmetic number, because the mean of its divisors is an integer number (74657289600).

Almost surely, 23430020233112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430020233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778066534400).

3430020233112 is an abundant number, since it is smaller than the sum of its proper divisors (6126112835688).

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

3430020233112 is a wasteful number, since it uses less digits than its factorization.

3430020233112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72357 (or 72353 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3430020233112 its reverse (2113320200343), we get a palindrome (5543340433455).

The spelling of 3430020233112 in words is "three trillion, four hundred thirty billion, twenty million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4051 4136 6204 8102 12153 12408 16204 24306 32408 44561 48612 68239 89122 97224 133683 136478 178244 190397 204717 267366 272956 356488 380794 409434 534732 545912 571191 750629 761588 818868 1069464 1142382 1501258 1523176 1637736 2094367 2251887 2284764 3002516 3207233 4188734 4503774 4569528 6005032 6283101 6414466 8377468 9007548 9621699 12566202 12828932 16754936 18015096 19243398 25132404 25657864 35279563 38486796 50264808 70559126 76973592 105838689 141118252 211677378 276436189 282236504 423354756 552872378 829308567 846709512 1105744756 1658617134 2211489512 3040798079 3317234268 6081596158 6634468536 9122394237 12163192316 12992500883 18244788474 24326384632 25985001766 36489576948 38977502649 51970003532 72979153896 77955005298 103940007064 142917509713 155910010596 285835019426 311820021192 428752529139 571670038852 857505058278 1143340077704 1715010116556 3430020233112