Search a number
-
+
23311322010 = 23252937241393
BaseRepresentation
bin10101101101011101…
…101000101110011010
32020011121100212002200
4111231131220232122
5340220144301020
614413054311030
71453450652634
oct255535505632
966147325080
1023311322010
1199826a7289
124626ab8476
132276722482
1411b1daba54
15916808590
hex56d768b9a

23311322010 has 96 divisors (see below), whose sum is σ = 64394263440. Its totient is φ = 5839755264.

The previous prime is 23311322003. The next prime is 23311322051. The reversal of 23311322010 is 1022311332.

23311322010 is a `hidden beast` number, since 2 + 331 + 1 + 322 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20716132761 + 2595189249 = 143931^2 + 50943^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24127 + ... + 217266.

Almost surely, 223311322010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23311322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32197131720).

23311322010 is an abundant number, since it is smaller than the sum of its proper divisors (41082941430).

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

23311322010 is a wasteful number, since it uses less digits than its factorization.

23311322010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241472 (or 241469 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23311322010 its reverse (1022311332), we get a palindrome (24333633342).

The spelling of 23311322010 in words is "twenty-three billion, three hundred eleven million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 870 1073 1110 1305 1665 2146 2610 3219 3330 5365 6438 9657 10730 16095 19314 32190 48285 96570 241393 482786 724179 1206965 1448358 2172537 2413930 3620895 4345074 7000397 7241790 8931541 10862685 14000794 17863082 21001191 21725370 26794623 35001985 42002382 44657705 53589246 63003573 70003970 80383869 89315410 105005955 126007146 133973115 160767738 210011910 259014689 267946230 315017865 401919345 518029378 630035730 777044067 803838690 1295073445 1554088134 2331132201 2590146890 3885220335 4662264402 7770440670 11655661005 23311322010