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23431302314010 = 2345151272970199
BaseRepresentation
bin1010101001111100001100…
…11100110111100000011010
310001222000021202010110110000
411110332012130313200122
511032344301343022020
6121500105223033430
74635566341324503
oct524760634674032
9101860252113400
1023431302314010
117514183337a08
12276518789b876
13100c740582366
145b011c6c5baa
152a977e0e8090
hex154f8673781a

23431302314010 has 160 divisors (see below), whose sum is σ = 63445558176000. Its totient is φ = 6204604665600.

The previous prime is 23431302314009. The next prime is 23431302314053. The reversal of 23431302314010 is 1041320313432.

It is a happy number.

23431302314010 is a `hidden beast` number, since 2 + 3 + 4 + 31 + 302 + 314 + 0 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 333748891 + ... + 333819089.

It is an arithmetic number, because the mean of its divisors is an integer number (396534738600).

Almost surely, 223431302314010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23431302314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31722779088000).

23431302314010 is an abundant number, since it is smaller than the sum of its proper divisors (40014255861990).

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

23431302314010 is a wasteful number, since it uses less digits than its factorization.

23431302314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73098 (or 73089 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23431302314010 its reverse (1041320313432), we get a palindrome (24472622627442).

The spelling of 23431302314010 in words is "twenty-three trillion, four hundred thirty-one billion, three hundred two million, three hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 151 162 270 302 405 453 755 810 906 1359 1510 2265 2718 2729 4077 4530 5458 6795 8154 8187 12231 13590 13645 16374 20385 24462 24561 27290 40770 40935 49122 61155 70199 73683 81870 122310 122805 140398 147366 210597 221049 245610 350995 368415 412079 421194 442098 631791 701990 736830 824158 1052985 1105245 1236237 1263582 1895373 2060395 2105970 2210490 2472474 3158955 3708711 3790746 4120790 5686119 6181185 6317910 7417422 9476865 10600049 11126133 11372238 12362370 18543555 18953730 21200098 22252266 28430595 31800147 33378399 37087110 53000245 55630665 56861190 63600294 66756798 95400441 106000490 111261330 159000735 166891995 190800882 191573071 286201323 318001470 333783990 383146142 477002205 572402646 574719213 858603969 954004410 957865355 1149438426 1431006615 1717207938 1724157639 1915730710 2862013230 2873596065 3448315278 4293019845 5172472917 5747192130 8586039690 8620788195 10344945834 15517418751 17241576390 25862364585 28927533721 31034837502 51724729170 57855067442 77587093755 86782601163 144637668605 155174187510 173565202326 260347803489 289275337210 433913005815 520695606978 781043410467 867826011630 1301739017445 1562086820934 2343130231401 2603478034890 3905217052335 4686260462802 7810434104670 11715651157005 23431302314010