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23010201032 = 237132910391049
BaseRepresentation
bin10101011011100000…
…111100110111001000
32012101121202022202212
4111123200330313020
5334111102413112
614323140244252
71443133324130
oct253340746710
965347668685
1023010201032
119838727675
1245620a0688
132229221390
141183dc5ac0
158ea177522
hex55b83cdc8

23010201032 has 128 divisors (see below), whose sum is σ = 55036800000. Its totient is φ = 8772212736.

The previous prime is 23010201023. The next prime is 23010201037.

It is a happy number.

23010201032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 23010200998 and 23010201016.

It is not an unprimeable number, because it can be changed into a prime (23010201037) 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, 21934844 + ... + 21935892.

It is an arithmetic number, because the mean of its divisors is an integer number (429975000).

Almost surely, 223010201032 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 23010201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400000).

23010201032 is an abundant number, since it is smaller than the sum of its proper divisors (32026598968).

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

23010201032 is a wasteful number, since it uses less digits than its factorization.

23010201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

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

The spelling of 23010201032 in words is "twenty-three billion, ten million, two hundred one thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1039 1049 1508 1624 2078 2098 2639 3016 4156 4196 5278 7273 7343 8312 8392 10556 13507 13637 14546 14686 21112 27014 27274 29092 29372 30131 30421 54028 54548 58184 58744 60262 60842 94549 95459 108056 109096 120524 121684 189098 190918 210917 212947 241048 243368 378196 381836 391703 395473 421834 425894 756392 763672 783406 790946 843668 851788 1089911 1566812 1581892 1687336 1703576 2179822 2741921 2768311 3133624 3163784 4359644 5483842 5536622 7629377 8719288 10967684 11073244 14168843 15258754 21935368 22146488 28337686 30517508 31607419 56675372 61035016 63214838 99181901 113350744 126429676 198363802 221251933 252859352 396727604 410896447 442503866 793455208 821792894 885007732 1643585788 1770015464 2876275129 3287171576 5752550258 11505100516 23010201032