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23020111102032 = 24321157725186999
BaseRepresentation
bin1010011101111110010011…
…00010111000000001010000
310000111200221010022121200200
411032333021202320001100
511004130141420231112
6120543143144215200
74564101545564352
oct516771142700120
9100450833277620
1023020111102032
1173758576473a0
1226b955076a500
13caca3051b3c5
145982720bb0d2
1529dc14e8ecdc
hex14efc98b8050

23020111102032 has 120 divisors (see below), whose sum is σ = 70402903896000. Its totient is φ = 6963701207040.

The previous prime is 23020111102031. The next prime is 23020111102033.

23020111102032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23020111102031) and next prime (23020111102033).

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 = 23020111101996 and 23020111102014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23020111102031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11679532 + ... + 13507467.

It is an arithmetic number, because the mean of its divisors is an integer number (586690865800).

Almost surely, 223020111102032 is an apocalyptic number.

23020111102032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23020111102032 is an abundant number, since it is smaller than the sum of its proper divisors (47382792793968).

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

23020111102032 is a wasteful number, since it uses less digits than its factorization.

23020111102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25187601 (or 25187592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2302011 and 1102032, that added together give a palindrome (3404043).

The spelling of 23020111102032 in words is "twenty-three trillion, twenty billion, one hundred eleven million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 577 792 1154 1584 1731 2308 3462 4616 5193 6347 6924 9232 10386 12694 13848 19041 20772 25388 27696 38082 41544 50776 57123 76164 83088 101552 114246 152328 228492 304656 456984 913968 25186999 50373998 75560997 100747996 151121994 201495992 226682991 277056989 302243988 402991984 453365982 554113978 604487976 831170967 906731964 1108227956 1208975952 1662341934 1813463928 2216455912 2493512901 3324683868 3626927856 4432911824 4987025802 6649367736 9974051604 13298735472 14532898423 19948103208 29065796846 39896206416 43598695269 58131593692 87197390538 116263187384 130796085807 159861882653 174394781076 232526374768 261592171614 319723765306 348789562152 479585647959 523184343228 639447530612 697579124304 959171295918 1046368686456 1278895061224 1438756943877 1918342591836 2092737372912 2557790122448 2877513887754 3836685183672 5755027775508 7673370367344 11510055551016 23020111102032