Search a number
-
+
23301311094 = 2332997211727
BaseRepresentation
bin10101101100110111…
…011100101001110110
32020010220112020201000
4111230313130221312
5340210113423334
614412055544130
71453266606405
oct255467345166
966126466630
1023301311094
119977a899a6
12462368b046
132274628959
1411b092363c
159159cc299
hex56cddca76

23301311094 has 128 divisors (see below), whose sum is σ = 54449740800. Its totient is φ = 7376624640.

The previous prime is 23301311093. The next prime is 23301311113. The reversal of 23301311094 is 49011310332.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301311093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32050959 + ... + 32051685.

It is an arithmetic number, because the mean of its divisors is an integer number (425388600).

Almost surely, 223301311094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23301311094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27224870400).

23301311094 is an abundant number, since it is smaller than the sum of its proper divisors (31148429706).

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

23301311094 is a wasteful number, since it uses less digits than its factorization.

23301311094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 23301311094 in words is "twenty-three billion, three hundred one million, three hundred eleven thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 97 174 194 211 261 291 422 522 582 633 727 783 873 1266 1454 1566 1746 1899 2181 2619 2813 3798 4362 5238 5626 5697 6119 6543 8439 11394 12238 13086 16878 18357 19629 20467 21083 25317 36714 39258 40934 42166 50634 55071 61401 63249 70519 75951 110142 122802 126498 141038 151902 153397 165213 184203 189747 211557 306794 330426 368406 379494 423114 460191 552609 569241 593543 634671 920382 1105218 1138482 1187086 1269342 1380573 1780629 1904013 2045051 2761146 3561258 3808026 4090102 4141719 4448513 5341887 6135153 8283438 8897026 10683774 12270306 13345539 14879509 16025661 18405459 26691078 29759018 32051322 36810918 40036617 44638527 55216377 80073234 89277054 110432754 120109851 133915581 240219702 267831162 401746743 431505761 803493486 863011522 1294517283 2589034566 3883551849 7767103698 11650655547 23301311094