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22131331431000 = 2335311670646407
BaseRepresentation
bin1010000100000110110100…
…01001011111101001011000
32220100201211112120022012220
411002003122021133221120
510400044431321243000
6115022554315304040
74442636011203231
oct502033211375130
986321745508186
1022131331431000
1170629326a2850
12259524a14b020
13c46c8b51100c
1456723ad5a088
15285a47a251a0
hex1420da25fa58

22131331431000 has 128 divisors (see below), whose sum is σ = 75327004546560. Its totient is φ = 5365171248000.

The previous prime is 22131331430993. The next prime is 22131331431017. The reversal of 22131331431000 is 13413313122.

It is a super-2 number, since 2×221313314310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335290204 + ... + 335356203.

It is an arithmetic number, because the mean of its divisors is an integer number (588492223020).

Almost surely, 222131331431000 is an apocalyptic number.

22131331431000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131331431000 is an abundant number, since it is smaller than the sum of its proper divisors (53195673115560).

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

22131331431000 is a wasteful number, since it uses less digits than its factorization.

22131331431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670646442 (or 670646428 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22131331431000 its reverse (13413313122), we get a palindrome (22144744744122).

The spelling of 22131331431000 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred thirty-one million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 670646407 1341292814 2011939221 2682585628 3353232035 4023878442 5365171256 6706464070 7377110477 8047756884 10059696105 13412928140 14754220954 16095513768 16766160175 20119392210 22131331431 26825856280 29508441908 33532320350 36885552385 40238784420 44262662862 50298480525 59016883816 67064640700 73771104770 80477568840 83830800875 88525325724 100596961050 110656657155 134129281400 147542209540 167661601750 177050651448 184427761925 201193922100 221313314310 251492402625 295084419080 335323203500 368855523850 402387844200 442626628620 502984805250 553283285775 670646407000 737711047700 885253257240 922138809625 1005969610500 1106566571550 1475422095400 1844277619250 2011939221000 2213133143100 2766416428875 3688555238500 4426266286200 5532832857750 7377110477000 11065665715500 22131331431000