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31412223124120 = 235431031271396141
BaseRepresentation
bin1110010010001101110100…
…11001101010001010011000
311010012222102211122121001201
413021012322121222022120
513104124213104432440
6150450324233523544
76421313113030516
oct711067231521230
9133188384577051
1031412223124120
11a010938047413
123633a95b735b4
13146b2104a0337
147a85070954b6
1539718608019a
hex1c91ba66a298

31412223124120 has 128 divisors (see below), whose sum is σ = 73598351523840. Its totient is φ = 12057824540160.

The previous prime is 31412223124103. The next prime is 31412223124151. The reversal of 31412223124120 is 2142132221413.

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, 21801250 + ... + 23197390.

It is an arithmetic number, because the mean of its divisors is an integer number (574987121280).

Almost surely, 231412223124120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31412223124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36799175761920).

31412223124120 is an abundant number, since it is smaller than the sum of its proper divisors (42186128399720).

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

31412223124120 is a wasteful number, since it uses less digits than its factorization.

31412223124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396425 (or 1396421 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 31412223124120 its reverse (2142132221413), we get a palindrome (33554355345533).

The spelling of 31412223124120 in words is "thirty-one trillion, four hundred twelve billion, two hundred twenty-three million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 103 127 172 206 215 254 344 412 430 508 515 635 824 860 1016 1030 1270 1720 2060 2540 4120 4429 5080 5461 8858 10922 13081 17716 21844 22145 26162 27305 35432 43688 44290 52324 54610 65405 88580 104648 109220 130810 177160 218440 261620 523240 562483 1124966 1396141 2249932 2792282 2812415 4499864 5584564 5624830 6980705 11169128 11249660 13961410 22499320 27922820 55845640 60034063 120068126 143802523 177309907 240136252 287605046 300170315 354619814 480272504 575210092 600340630 709239628 719012615 886549535 1150420184 1200681260 1418479256 1438025230 1773099070 2401362520 2876050460 3546198140 5752100920 6183508489 7092396280 7624326001 12367016978 15248652002 18262920421 24734033956 30497304004 30917542445 36525840842 38121630005 49468067912 60994608008 61835084890 73051681684 76243260010 91314602105 123670169780 146103363368 152486520020 182629204210 247340339560 304973040040 365258408420 730516816840 785305578103 1570611156206 3141222312412 3926527890515 6282444624824 7853055781030 15706111562060 31412223124120