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23122201032 = 233475396179
BaseRepresentation
bin10101100010001100…
…001100100111001000
32012200102111111220000
4111202030030213020
5334323240413112
614342221003000
71445663315550
oct254214144710
965612444800
1023122201032
119895974957
1245936b3460
1322464a6b78
141194c1c160
15904dec7dc
hex56230c9c8

23122201032 has 160 divisors (see below), whose sum is σ = 75412814400. Its totient is φ = 6481627776.

The previous prime is 23122201021. The next prime is 23122201087. The reversal of 23122201032 is 23010222132.

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

It is a junction number, because it is equal to n+sod(n) for n = 23122200996 and 23122201014.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192319 + ... + 288497.

It is an arithmetic number, because the mean of its divisors is an integer number (471330090).

Almost surely, 223122201032 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 23122201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37706407200).

23122201032 is an abundant number, since it is smaller than the sum of its proper divisors (52290613368).

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

23122201032 is a wasteful number, since it uses less digits than its factorization.

23122201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96257 (or 96244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23122201032 its reverse (23010222132), we get a palindrome (46132423164).

The spelling of 23122201032 in words is "twenty-three billion, one hundred twenty-two million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 81 84 106 108 126 159 162 168 189 212 216 252 318 324 371 378 424 477 504 567 636 648 742 756 954 1113 1134 1272 1431 1484 1512 1908 2226 2268 2862 2968 3339 3816 4293 4452 4536 5724 6678 8586 8904 10017 11448 13356 17172 20034 26712 30051 34344 40068 60102 80136 96179 120204 192358 240408 288537 384716 577074 673253 769432 865611 1154148 1346506 1731222 2019759 2308296 2596833 2693012 3462444 4039518 5097487 5193666 5386024 6059277 6924888 7790499 8079036 10194974 10387332 12118554 15292461 15580998 16158072 18177831 20389948 20774664 24237108 30584922 31161996 35682409 36355662 40779896 45877383 48474216 54533493 61169844 62323992 71364818 72711324 91754766 107047227 109066986 122339688 137632149 142729636 145422648 183509532 214094454 218133972 275264298 285459272 321141681 367019064 412896447 428188908 436267944 550528596 642283362 825792894 856377816 963425043 1101057192 1284566724 1651585788 1926850086 2569133448 2890275129 3303171576 3853700172 5780550258 7707400344 11561100516 23122201032