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13131100222002 = 23274119113308017
BaseRepresentation
bin1011111100010101001010…
…0100000111001000110010
31201111022122221200211202100
42333011102210013020302
53210114443124101002
643532202201201230
72523455622165150
oct277052244071062
951438587624670
1013131100222002
114202960825a04
121580a8aa90216
1374334678a989
1433579768a3d0
1517b883dc711c
hexbf152907232

13131100222002 has 96 divisors (see below), whose sum is σ = 33482547431424. Its totient is φ = 3641073177600.

The previous prime is 13131100221973. The next prime is 13131100222013. The reversal of 13131100222002 is 20022200113131.

13131100222002 is a `hidden beast` number, since 131 + 311 + 0 + 0 + 2 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5667303 + ... + 7640714.

It is an arithmetic number, because the mean of its divisors is an integer number (348776535744).

Almost surely, 213131100222002 is an apocalyptic number.

13131100222002 is an abundant number, since it is smaller than the sum of its proper divisors (20351447209422).

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

13131100222002 is a wasteful number, since it uses less digits than its factorization.

13131100222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13308264 (or 13308261 counting only the distinct ones).

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

Adding to 13131100222002 its reverse (20022200113131), we get a palindrome (33153300335133).

The spelling of 13131100222002 in words is "thirteen trillion, one hundred thirty-one billion, one hundred million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 191 246 287 369 382 573 574 738 861 1146 1337 1719 1722 2583 2674 3438 4011 5166 7831 8022 12033 15662 23493 24066 46986 54817 70479 109634 140958 164451 328902 493353 986706 13308017 26616034 39924051 79848102 93156119 119772153 186312238 239544306 279468357 545628697 558936714 838405071 1091257394 1636886091 1676810142 2541831247 3273772182 3819400879 4910658273 5083662494 7625493741 7638801758 9821316546 11458202637 15250987482 17792818729 22876481223 22916405274 34374607911 35585637458 45752962446 53378456187 68749215822 104215081127 106756912374 160135368561 208430162254 312645243381 320270737122 625290486762 729505567889 937935730143 1459011135778 1875871460286 2188516703667 4377033407334 6565550111001 13131100222002