Search a number
-
+
101077104107770 = 25773127155750041
BaseRepresentation
bin10110111110110111011000…
…111000101010000011111010
3111020212212200011201110102221
4112332313120320222003322
5101222021402122422040
6554550103001514254
730201402603041350
oct2676673070520372
9436785604643387
10101077104107770
112a22a61721548a
12b4055057a298a
1344526b75b349b
141ad622d56b7d0
15ba43aa17774a
hex5bedd8e2a0fa

101077104107770 has 64 divisors (see below), whose sum is σ = 212438073286656. Its totient is φ = 33911144709120.

The previous prime is 101077104107737. The next prime is 101077104107773. The reversal of 101077104107770 is 77701401770101.

It is not an unprimeable number, because it can be changed into a prime (101077104107773) 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, 77226051 + ... + 78523990.

It is an arithmetic number, because the mean of its divisors is an integer number (3319344895104).

Almost surely, 2101077104107770 is an apocalyptic number.

101077104107770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101077104107770 is an abundant number, since it is smaller than the sum of its proper divisors (111360969178886).

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

101077104107770 is a wasteful number, since it uses less digits than its factorization.

101077104107770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155750255.

The product of its (nonzero) digits is 67228, while the sum is 43.

Adding to 101077104107770 its reverse (77701401770101), we get a palindrome (178778505877871).

The spelling of 101077104107770 in words is "one hundred one trillion, seventy-seven billion, one hundred four million, one hundred seven thousand, seven hundred seventy".

Divisors: 1 2 5 7 10 14 35 70 73 127 146 254 365 511 635 730 889 1022 1270 1778 2555 4445 5110 8890 9271 18542 46355 64897 92710 129794 324485 648970 155750041 311500082 778750205 1090250287 1557500410 2180500574 5451251435 10902502870 11369752993 19780255207 22739505986 39560510414 56848764965 79588270951 98901276035 113697529930 138461786449 159176541902 197802552070 276923572898 397941354755 692308932245 795882709510 1384617864490 1443958630111 2887917260222 7219793150555 10107710410777 14439586301110 20215420821554 50538552053885 101077104107770