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102222011310030 = 235558439719839
BaseRepresentation
bin10111001111100001101010…
…101011000001111111001110
3111101221022212201121110200000
4113033201222223001333032
5101344301134343410110
61001224051012345130
730350203506510003
oct2717415253017716
9441838781543600
10102222011310030
112a63112550a177
12b56b3889151a6
134506656cab391
141b35800c298aa
15bc40683361c0
hex5cf86aac1fce

102222011310030 has 96 divisors (see below), whose sum is σ = 275625929779200. Its totient is φ = 27258698692512.

The previous prime is 102222011309983. The next prime is 102222011310043. The reversal of 102222011310030 is 30013110222201.

102222011310030 is a `hidden beast` number, since 102 + 2 + 220 + 1 + 1 + 310 + 0 + 30 = 666.

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 = 102222011309985 and 102222011310012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141646851 + ... + 142366689.

It is an arithmetic number, because the mean of its divisors is an integer number (2871103435200).

Almost surely, 2102222011310030 is an apocalyptic number.

102222011310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102222011310030 is an abundant number, since it is smaller than the sum of its proper divisors (173403918469170).

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

102222011310030 is an equidigital number, since it uses as much as digits as its factorization.

102222011310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778300 (or 778288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102222011310030 its reverse (30013110222201), we get a palindrome (132235121532231).

The spelling of 102222011310030 in words is "one hundred two trillion, two hundred twenty-two billion, eleven million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 58439 116878 175317 292195 350634 525951 584390 719839 876585 1051902 1439678 1577853 1753170 2159517 2629755 3155706 3599195 4319034 4733559 5259510 6478551 7198390 7889265 9467118 10797585 12957102 14200677 15778530 19435653 21595170 23667795 28401354 32392755 38871306 47335590 58306959 64785510 71003385 97178265 116613918 142006770 174920877 194356530 291534795 349841754 583069590 874604385 1749208770 42066671321 84133342642 126200013963 210333356605 252400027926 378600041889 420666713210 631000069815 757200083778 1135800125667 1262000139630 1893000209445 2271600251334 3407400377001 3786000418890 5679000628335 6814800754002 10222201131003 11358001256670 17037001885005 20444402262006 34074003770010 51111005655015 102222011310030