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23051160630 = 2345415411283
BaseRepresentation
bin10101011101111101…
…001100110000110110
32012111110211021210000
4111131331030300312
5334202044120010
614331202212130
71444141426641
oct253575146066
965443737700
1023051160630
119859863183
124573954046
132234862924
141189608a58
158eda687c0
hex55df4cc36

23051160630 has 160 divisors (see below), whose sum is σ = 63660709728. Its totient is φ = 5981299200.

The previous prime is 23051160581. The next prime is 23051160631. The reversal of 23051160630 is 3606115032.

23051160630 is a `hidden beast` number, since 2 + 3 + 0 + 51 + 1 + 606 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23051160594 and 23051160603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23051160631) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17965969 + ... + 17967251.

Almost surely, 223051160630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23051160630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31830354864).

23051160630 is an abundant number, since it is smaller than the sum of its proper divisors (40609549098).

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

23051160630 is a wasteful number, since it uses less digits than its factorization.

23051160630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 23051160630 its reverse (3606115032), we get a palindrome (26657275662).

The spelling of 23051160630 in words is "twenty-three billion, fifty-one million, one hundred sixty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 541 615 738 810 1082 1107 1230 1283 1623 1845 2214 2566 2705 3246 3321 3690 3849 4869 5410 5535 6415 6642 7698 8115 9738 11070 11547 12830 14607 16230 16605 19245 22181 23094 24345 29214 33210 34641 38490 43821 44362 48690 52603 57735 66543 69282 73035 87642 103923 105206 110905 115470 133086 146070 157809 173205 199629 207846 219105 221810 263015 315618 332715 346410 399258 438210 473427 519615 526030 598887 665430 694103 789045 946854 998145 1039230 1197774 1388206 1420281 1578090 1796661 1996290 2082309 2367135 2840562 2994435 3470515 3593322 4164618 4260843 4734270 5988870 6246927 6941030 7101405 8521686 8983305 10411545 12493854 14202810 17966610 18740781 20823090 21304215 28458223 31234635 37481562 42608430 56222343 56916446 62469270 85374669 93703905 112444686 142291115 170749338 187407810 256124007 281111715 284582230 426873345 512248014 562223430 768372021 853746690 1280620035 1536744042 2305116063 2561240070 3841860105 4610232126 7683720210 11525580315 23051160630