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34423121010 = 23547281283307
BaseRepresentation
bin100000000011110001…
…110010010001110010
310021212000011201201210
4200003301302101302
51030444304333020
623451434540550
72326015462245
oct400361622162
9107760151653
1034423121010
1113664a55343
126808297756
133327861c75
141947a6125c
15d670cd3e0
hex803c72472

34423121010 has 128 divisors (see below), whose sum is σ = 85249511424. Its totient is φ = 8891527680.

The previous prime is 34423120981. The next prime is 34423121021. The reversal of 34423121010 is 1012132443.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112127277 + ... + 112127583.

It is an arithmetic number, because the mean of its divisors is an integer number (666011808).

Almost surely, 234423121010 is an apocalyptic number.

34423121010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34423121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42624755712).

34423121010 is an abundant number, since it is smaller than the sum of its proper divisors (50826390414).

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

34423121010 is a wasteful number, since it uses less digits than its factorization.

34423121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34423121010 its reverse (1012132443), we get a palindrome (35435253453).

The spelling of 34423121010 in words is "thirty-four billion, four hundred twenty-three million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 281 282 283 307 470 562 566 614 705 843 849 921 1405 1410 1415 1535 1686 1698 1842 2810 2830 3070 4215 4245 4605 8430 8490 9210 13207 13301 14429 26414 26602 28858 39621 39903 43287 66035 66505 72145 79242 79523 79806 86267 86574 86881 132070 133010 144290 159046 172534 173762 198105 199515 216435 238569 258801 260643 396210 397615 399030 431335 432870 434405 477138 517602 521286 795230 862670 868810 1192845 1294005 1303215 2385690 2588010 2606430 3737581 4054549 4083407 7475162 8109098 8166814 11212743 12163647 12250221 18687905 20272745 20417035 22425486 24327294 24413561 24500442 37375810 40545490 40834070 48827122 56063715 60818235 61251105 73240683 112127430 121636470 122067805 122502210 146481366 244135610 366203415 732406830 1147437367 2294874734 3442312101 5737186835 6884624202 11474373670 17211560505 34423121010