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101035020 = 22354313907
BaseRepresentation
bin1100000010110…
…10110000001100
321001010002222210
412001122300030
5201331110040
614005310420
72334532512
oct601326014
9231102883
10101035020
1152039119
1229a05410
1317c16948
14d5c04b2
158d0b480
hex605ac0c

101035020 has 48 divisors (see below), whose sum is σ = 283627008. Its totient is φ = 26873280.

The previous prime is 101035009. The next prime is 101035031. The reversal of 101035020 is 20530101.

It is an interprime number because it is at equal distance from previous prime (101035009) and next prime (101035031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101034987 and 101035005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23907 + ... + 27813.

It is an arithmetic number, because the mean of its divisors is an integer number (5908896).

Almost surely, 2101035020 is an apocalyptic number.

101035020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101035020 is an abundant number, since it is smaller than the sum of its proper divisors (182591988).

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

101035020 is a wasteful number, since it uses less digits than its factorization.

101035020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 101035020 is about 10051.6177802382. The cubic root of 101035020 is about 465.7547691392.

Adding to 101035020 its reverse (20530101), we get a palindrome (121565121).

The spelling of 101035020 in words is "one hundred one million, thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 431 862 1293 1724 2155 2586 3907 4310 5172 6465 7814 8620 11721 12930 15628 19535 23442 25860 39070 46884 58605 78140 117210 234420 1683917 3367834 5051751 6735668 8419585 10103502 16839170 20207004 25258755 33678340 50517510 101035020