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10302100213032 = 23321491277751997
BaseRepresentation
bin1001010111101010010100…
…0001100000110100101000
31100110212112002002011020100
42111322211001200310220
52322242200123304112
633524415225025400
72112205434652005
oct225724501406450
940425462064210
1010302100213032
113312106aa4471
1211a4748625260
1359963a11ac24
142788a51748ac
1512ceabbac2dc
hex95ea5060d28

10302100213032 has 96 divisors (see below), whose sum is σ = 28110813237000. Its totient is φ = 3408310574592.

The previous prime is 10302100213019. The next prime is 10302100213039. The reversal of 10302100213032 is 23031200120301.

It can be written as a sum of positive squares in 4 ways, for example, as 8018151109956 + 2283949103076 = 2831634^2 + 1511274^2 .

It is a super-2 number, since 2×103021002130322 (a number of 27 digits) contains 22 as substring.

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 = 10302100212996 and 10302100213014.

It is not an unprimeable number, because it can be changed into a prime (10302100213039) 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, 13323658 + ... + 14075654.

Almost surely, 210302100213032 is an apocalyptic number.

10302100213032 is a gapful number since it is divisible by the number (12) 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 10302100213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055406618500).

10302100213032 is an abundant number, since it is smaller than the sum of its proper divisors (17808713023968).

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

10302100213032 is a wasteful number, since it uses less digits than its factorization.

10302100213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753435 (or 753428 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10302100213032 its reverse (23031200120301), we get a palindrome (33333300333333).

The spelling of 10302100213032 in words is "ten trillion, three hundred two billion, one hundred million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1277 1341 1788 2554 2682 3576 3831 5108 5364 7662 10216 10728 11493 15324 22986 30648 45972 91944 190273 380546 570819 751997 761092 1141638 1503994 1522184 1712457 2255991 2283276 3007988 3424914 4511982 4566552 6015976 6767973 6849828 9023964 13535946 13699656 18047928 27071892 54143784 112047553 224095106 336142659 448190212 672285318 896380424 960300169 1008427977 1344570636 1920600338 2016855954 2689141272 2880900507 3841200676 4033711908 5761801014 7682401352 8067423816 8642701521 11523602028 17285403042 23047204056 34570806084 69141612168 143084725181 286169450362 429254175543 572338900724 858508351086 1144677801448 1287762526629 1717016702172 2575525053258 3434033404344 5151050106516 10302100213032