Search a number
-
+
23130202111232 = 281511793342793
BaseRepresentation
bin1010100001001011010110…
…11110101111110100000000
310000220020002112222100012212
411100211223132233310000
511012431123220024412
6121105511304441252
74605046653662636
oct520455336576400
9100806075870185
1023130202111232
1174085110a8017
122716955a79228
13cba2268316b8
1459d7173d1356
152a1a0a063222
hex15096b7afd00

23130202111232 has 72 divisors (see below), whose sum is σ = 46735469202240. Its totient is φ = 11424325939200.

The previous prime is 23130202111207. The next prime is 23130202111241. The reversal of 23130202111232 is 23211120203132.

It is a junction number, because it is equal to n+sod(n) for n = 23130202111198 and 23130202111207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5248028 + ... + 8590820.

It is an arithmetic number, because the mean of its divisors is an integer number (649103738920).

Almost surely, 223130202111232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130202111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23367734601120).

23130202111232 is an abundant number, since it is smaller than the sum of its proper divisors (23605267091008).

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

23130202111232 is a wasteful number, since it uses less digits than its factorization.

23130202111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343139 (or 3343125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 23130202111232 its reverse (23211120203132), we get a palindrome (46341322314364).

The spelling of 23130202111232 in words is "twenty-three trillion, one hundred thirty billion, two hundred two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 151 179 256 302 358 604 716 1208 1432 2416 2864 4832 5728 9664 11456 19328 22912 27029 38656 45824 54058 108116 216232 432464 864928 1729856 3342793 3459712 6685586 6919424 13371172 26742344 53484688 106969376 213938752 427877504 504761743 598359947 855755008 1009523486 1196719894 2019046972 2393439788 4038093944 4786879576 8076187888 9573759152 16152375776 19147518304 32304751552 38295036608 64609503104 76590073216 90352351997 129219006208 153180146432 180704703994 361409407988 722818815976 1445637631952 2891275263904 5782550527808 11565101055616 23130202111232