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10155301020 = 2233519397441
BaseRepresentation
bin10010111010100110…
…11001100010011100
3222012201222202002000
421131103121202130
5131244224113040
64355411202300
7506441430414
oct113523314234
928181882060
1010155301020
114341447a67
121b74ba6390
13c5ac24177
146c4a2b644
153e6838130
hex25d4d989c

10155301020 has 96 divisors (see below), whose sum is σ = 31758296640. Its totient is φ = 2694021120.

The previous prime is 10155301007. The next prime is 10155301031. The reversal of 10155301020 is 2010355101.

10155301020 is a `hidden beast` number, since 10 + 1 + 553 + 0 + 102 + 0 = 666.

10155301020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10155300984 and 10155301002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55500 + ... + 152940.

It is an arithmetic number, because the mean of its divisors is an integer number (330815590).

Almost surely, 210155301020 is an apocalyptic number.

10155301020 is a gapful number since it is divisible by the number (10) 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 10155301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15879148320).

10155301020 is an abundant number, since it is smaller than the sum of its proper divisors (21602995620).

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

10155301020 is a wasteful number, since it uses less digits than its factorization.

10155301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97652 (or 97644 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10155301020 its reverse (2010355101), we get a palindrome (12165656121).

It can be divided in two parts, 1015 and 5301020, that added together give a palindrome (5302035).

The spelling of 10155301020 in words is "ten billion, one hundred fifty-five million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 193 270 386 540 579 772 965 1158 1737 1930 2316 2895 3474 3860 5211 5790 6948 8685 10422 11580 17370 20844 26055 34740 52110 97441 104220 194882 292323 389764 487205 584646 876969 974410 1169292 1461615 1753938 1948820 2630907 2923230 3507876 4384845 5261814 5846460 8769690 10523628 13154535 17539380 18806113 26309070 37612226 52618140 56418339 75224452 94030565 112836678 169255017 188061130 225673356 282091695 338510034 376122260 507765051 564183390 677020068 846275085 1015530102 1128366780 1692550170 2031060204 2538825255 3385100340 5077650510 10155301020