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101023040330030 = 25713671656930299
BaseRepresentation
bin10110111110000101000010…
…011011101101100100101110
3111020200201010101011222202102
4112332011002123231210232
5101220130141311030110
6554505202151255102
730164450054362160
oct2676050233554456
9436621111158672
10101023040330030
112a2096a3668035
12b3b6b3797a492
13444a57c951760
141ad3781244930
15ba2c93b605a5
hex5be1426ed92e

101023040330030 has 64 divisors (see below), whose sum is σ = 227145260966400. Its totient is φ = 31494931104384.

The previous prime is 101023040329919. The next prime is 101023040330039. The reversal of 101023040330030 is 30033040320101.

It is a junction number, because it is equal to n+sod(n) for n = 101023040329984 and 101023040330011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023040330039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828404180 + ... + 828526119.

It is an arithmetic number, because the mean of its divisors is an integer number (3549144702600).

Almost surely, 2101023040330030 is an apocalyptic number.

101023040330030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101023040330030 is an abundant number, since it is smaller than the sum of its proper divisors (126122220636370).

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

101023040330030 is a wasteful number, since it uses less digits than its factorization.

101023040330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656930393.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 101023040330030 its reverse (30033040320101), we get a palindrome (131056080650131).

The spelling of 101023040330030 in words is "one hundred one trillion, twenty-three billion, forty million, three hundred thirty thousand, thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 67 70 91 130 134 182 335 455 469 670 871 910 938 1742 2345 4355 4690 6097 8710 12194 30485 60970 1656930299 3313860598 8284651495 11598512093 16569302990 21540093887 23197024186 43080187774 57992560465 107700469435 111014330033 115985120930 150780657209 215400938870 222028660066 301561314418 555071650165 753903286045 777100310231 1110143300330 1443186290429 1507806572090 1554200620462 2886372580858 3885501551155 7215931452145 7771003102310 10102304033003 14431862904290 20204608066006 50511520165015 101023040330030