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23130201020 = 22517131631823
BaseRepresentation
bin10101100010101010…
…101101101110111100
32012200222112221210212
4111202222231232330
5334332312413040
614343104251552
71446121315253
oct254252555674
965628487725
1023130201020
11989a439413
124596310bb8
1322480482a4
141195d0179a
1590597cd65
hex562aadbbc

23130201020 has 96 divisors (see below), whose sum is σ = 51968480256. Its totient is φ = 8617190400.

The previous prime is 23130201007. The next prime is 23130201023. The reversal of 23130201020 is 2010203132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23130200986 and 23130201004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130201023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28104329 + ... + 28105151.

It is an arithmetic number, because the mean of its divisors is an integer number (541338336).

Almost surely, 223130201020 is an apocalyptic number.

23130201020 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 23130201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25984240128).

23130201020 is an abundant number, since it is smaller than the sum of its proper divisors (28838279236).

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

23130201020 is a wasteful number, since it uses less digits than its factorization.

23130201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23130201020 its reverse (2010203132), we get a palindrome (25140404152).

The spelling of 23130201020 in words is "twenty-three billion, one hundred thirty million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 131 170 262 340 524 631 655 823 1262 1310 1646 2227 2524 2620 3155 3292 4115 4454 6310 8230 8908 10727 11135 12620 13991 16460 21454 22270 27982 42908 44540 53635 55964 69955 82661 107270 107813 139910 165322 214540 215626 279820 330644 413305 431252 519313 539065 826610 1038626 1078130 1405237 1653220 1832821 2077252 2156260 2596565 2810474 3665642 5193130 5620948 7026185 7331284 8828321 9164105 10386260 14052370 17656642 18328210 28104740 35313284 36656420 44141605 68030003 88283210 136060006 176566420 272120012 340150015 680300030 1156510051 1360600060 2313020102 4626040204 5782550255 11565100510 23130201020