Search a number
-
+
23043133100 = 22521321499151
BaseRepresentation
bin10101011101011110…
…100100111010101100
32012110220201110002002
4111131132210322230
5334143020224400
614330314151432
71444013254031
oct253536447254
965426643062
1023043133100
11985527aa59
124571122578
132232cb1b00
141188519388
158ececeed5
hex55d7a4eac

23043133100 has 108 divisors (see below), whose sum is σ = 54515260800. Its totient is φ = 8450208000.

The previous prime is 23043133051. The next prime is 23043133109. The reversal of 23043133100 is 133134032.

It is a super-2 number, since 2×230431331002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23043133109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2513525 + ... + 2522675.

Almost surely, 223043133100 is an apocalyptic number.

23043133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23043133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27257630400).

23043133100 is an abundant number, since it is smaller than the sum of its proper divisors (31472127700).

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

23043133100 is a wasteful number, since it uses less digits than its factorization.

23043133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 23043133100 its reverse (133134032), we get a palindrome (23176267132).

The spelling of 23043133100 in words is "twenty-three billion, forty-three million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 149 169 260 298 325 338 596 650 676 745 845 1300 1490 1690 1937 2980 3380 3725 3874 4225 7450 7748 8450 9151 9685 14900 16900 18302 19370 25181 36604 38740 45755 48425 50362 91510 96850 100724 118963 125905 183020 193700 228775 237926 251810 457550 475852 503620 594815 629525 915100 1189630 1259050 1363499 1546519 2379260 2518100 2726998 2974075 3093038 5453996 5948150 6186076 6817495 7732595 11896300 13634990 15465190 17725487 27269980 30930380 34087475 35450974 38662975 68174950 70901948 77325950 88627435 136349900 154651900 177254870 230431331 354509740 443137175 460862662 886274350 921725324 1152156655 1772548700 2304313310 4608626620 5760783275 11521566550 23043133100