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23100838050 = 2352834913779
BaseRepresentation
bin10101100000111010…
…101101000010100010
32012121221022011101110
4111200322231002202
5334302303304200
614340135044150
71445313612033
oct254072550242
965557264343
1023100838050
1198849035a4
124588510656
132241c37254
14119205aa8a
159030ccb50
hex560ead0a2

23100838050 has 96 divisors (see below), whose sum is σ = 58113780480. Its totient is φ = 6072001600.

The previous prime is 23100838031. The next prime is 23100838051. The reversal of 23100838050 is 5083800132.

It is a happy number.

It is a super-2 number, since 2×231008380502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23100837999 and 23100838017.

It is not an unprimeable number, because it can be changed into a prime (23100838051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6111061 + ... + 6114839.

It is an arithmetic number, because the mean of its divisors is an integer number (605351880).

Almost surely, 223100838050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23100838050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29056890240).

23100838050 is an abundant number, since it is smaller than the sum of its proper divisors (35012942430).

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

23100838050 is a wasteful number, since it uses less digits than its factorization.

23100838050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 23100838050 in words is "twenty-three billion, one hundred million, eight hundred thirty-eight thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 491 498 830 982 1245 1473 2075 2455 2490 2946 3779 4150 4910 6225 7365 7558 11337 12275 12450 14730 18895 22674 24550 36825 37790 40753 56685 73650 81506 94475 113370 122259 188950 203765 244518 283425 313657 407530 566850 611295 627314 940971 1018825 1222590 1568285 1855489 1881942 2037650 3056475 3136570 3710978 4704855 5566467 6112950 7841425 9277445 9409710 11132934 15682850 18554890 23524275 27832335 46387225 47048550 55664670 92774450 139161675 154005587 278323350 308011174 462016761 770027935 924033522 1540055870 2310083805 3850139675 4620167610 7700279350 11550419025 23100838050