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101201202332130 = 235172310607813383
BaseRepresentation
bin10111000000101010111101…
…101101110100000111100010
3111021022201222210102102212210
4113000222331231310013202
5101231040030244112010
6555123105053302550
730213355064405625
oct2700527555640742
9437281883372783
10101201202332130
112a27820945218a
12b425579a94a56
134461303860784
141adc242cb5dbc
15ba771ed06b20
hex5c0abdb741e2

101201202332130 has 128 divisors (see below), whose sum is σ = 268377052889088. Its totient is φ = 24292870249472.

The previous prime is 101201202332123. The next prime is 101201202332143. The reversal of 101201202332130 is 31233202102101.

101201202332130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101201202332097 and 101201202332106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124013419 + ... + 124826801.

It is an arithmetic number, because the mean of its divisors is an integer number (2096695725696).

Almost surely, 2101201202332130 is an apocalyptic number.

101201202332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201202332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134188526444544).

101201202332130 is an abundant number, since it is smaller than the sum of its proper divisors (167175850556958).

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

101201202332130 is a wasteful number, since it uses less digits than its factorization.

101201202332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824040.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101201202332130 its reverse (31233202102101), we get a palindrome (132434404434231).

The spelling of 101201202332130 in words is "one hundred one trillion, two hundred one billion, two hundred two million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1955 2346 3910 5865 10607 11730 21214 31821 53035 63642 106070 159105 180319 243961 318210 360638 487922 540957 731883 813383 901595 1081914 1219805 1463766 1626766 1803190 2439610 2440149 2704785 3659415 4066915 4147337 4880298 5409570 7318830 8133830 8294674 12200745 12442011 13827511 18707809 20736685 24401490 24884022 27655022 37415618 41473370 41482533 56123427 62210055 69137555 82965066 93539045 112246854 124420110 138275110 187078090 207412665 280617135 318032753 414825330 561234270 636065506 954098259 1590163765 1908196518 3180327530 4770491295 8627553481 9540982590 17255106962 25882660443 43137767405 51765320886 86275534810 129413302215 146668409177 198433730063 258826604430 293336818354 396867460126 440005227531 595301190189 733342045885 880010455062 992168650315 1190602380378 1466684091770 1984337300630 2200026137655 2976505950945 3373373411071 4400052275310 5953011901890 6746746822142 10120120233213 16866867055355 20240240466426 33733734110710 50600601166065 101201202332130