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10120220334 = 2327349373617
BaseRepresentation
bin10010110110011011…
…00100111010101110
3222010021222110102100
421123031210322232
5131211234022314
64352115235530
7505534311360
oct113315447256
928107873370
1010120220334
114323667364
121b652a8ba6
13c53890773
146c00d8d30
153e3708c09
hex25b364eae

10120220334 has 96 divisors (see below), whose sum is σ = 25239614400. Its totient is φ = 2870816256.

The previous prime is 10120220333. The next prime is 10120220371. The reversal of 10120220334 is 43302202101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120220333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16401994 + ... + 16402610.

It is an arithmetic number, because the mean of its divisors is an integer number (262912650).

Almost surely, 210120220334 is an apocalyptic number.

10120220334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10120220334 is an abundant number, since it is smaller than the sum of its proper divisors (15119394066).

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

10120220334 is a wasteful number, since it uses less digits than its factorization.

10120220334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1351 counting only the distinct ones).

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

Adding to 10120220334 its reverse (43302202101), we get a palindrome (53422422435).

The spelling of 10120220334 in words is "ten billion, one hundred twenty million, two hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 349 373 617 698 746 1047 1119 1234 1851 2094 2238 2443 2611 3141 3357 3702 4319 4886 5222 5553 6282 6714 7329 7833 8638 11106 12957 14658 15666 21987 23499 25914 38871 43974 46998 77742 130177 215333 230141 260354 390531 430666 460282 645999 690423 781062 911239 1171593 1291998 1380846 1507331 1610987 1822478 1937997 2071269 2343186 2733717 3014662 3221974 3875994 4142538 4521993 4832961 5467434 8201151 9043986 9665922 13565979 14498883 16402302 27131958 28997766 80319209 160638418 240957627 481915254 562234463 722872881 1124468926 1445745762 1686703389 3373406778 5060110167 10120220334