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10101043764 = 2234716726669
BaseRepresentation
bin10010110100001000…
…11011001000110100
3222001221220012010000
421122010123020310
5131141331400024
64350152231300
7505212312120
oct113204331064
928057805100
1010101043764
114313859759
121b5a99b530
13c4c908096
146bb746580
153e1bbbcc9
hex25a11b234

10101043764 has 120 divisors (see below), whose sum is σ = 30360274560. Its totient is φ = 2868623424.

The previous prime is 10101043763. The next prime is 10101043769. The reversal of 10101043764 is 46734010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101043763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 365422 + ... + 392090.

It is an arithmetic number, because the mean of its divisors is an integer number (253002288).

Almost surely, 210101043764 is an apocalyptic number.

10101043764 is a gapful number since it is divisible by the number (14) 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 10101043764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180137280).

10101043764 is an abundant number, since it is smaller than the sum of its proper divisors (20259230796).

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

10101043764 is a wasteful number, since it uses less digits than its factorization.

10101043764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26859 (or 26848 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10101043764 its reverse (46734010101), we get a palindrome (56835053865).

The spelling of 10101043764 in words is "ten billion, one hundred one million, forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 167 189 252 324 334 378 501 567 668 756 1002 1134 1169 1503 2004 2268 2338 3006 3507 4509 4676 6012 7014 9018 10521 13527 14028 18036 21042 26669 27054 31563 42084 53338 54108 63126 80007 94689 106676 126252 160014 186683 189378 240021 320028 373366 378756 480042 560049 720063 746732 960084 1120098 1440126 1680147 2160189 2240196 2880252 3360294 4320378 4453723 5040441 6720588 8640756 8907446 10080882 13361169 15121323 17814892 20161764 26722338 30242646 31176061 40083507 53444676 60485292 62352122 80167014 93528183 120250521 124704244 160334028 187056366 240501042 280584549 360751563 374112732 481002084 561169098 721503126 841753647 1122338196 1443006252 1683507294 2525260941 3367014588 5050521882 10101043764