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10322141431420 = 2257213810215183
BaseRepresentation
bin1001011000110100111110…
…0100101100011001111100
31100112210020210011112111001
42112031033210230121330
52323104221201301140
633541532025540044
72113515200340100
oct226151744543174
940483223145431
1010322141431420
11331a660816475
1211a8600344624
1359b4b21c7b30
14279846b09900
1512d78136ae9a
hex9634f92c67c

10322141431420 has 72 divisors (see below), whose sum is σ = 27155172106944. Its totient is φ = 3266787613824.

The previous prime is 10322141431397. The next prime is 10322141431421. The reversal of 10322141431420 is 2413414122301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322141431421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405094852 + ... + 405120331.

It is an arithmetic number, because the mean of its divisors is an integer number (377155168152).

Almost surely, 210322141431420 is an apocalyptic number.

10322141431420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322141431420 is an abundant number, since it is smaller than the sum of its proper divisors (16833030675524).

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

10322141431420 is a wasteful number, since it uses less digits than its factorization.

10322141431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810215219 (or 810215210 counting only the distinct ones).

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

Adding to 10322141431420 its reverse (2413414122301), we get a palindrome (12735555553721).

The spelling of 10322141431420 in words is "ten trillion, three hundred twenty-two billion, one hundred forty-one million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 810215183 1620430366 3240860732 4051075915 5671506281 8102151830 10532797379 11343012562 16204303660 21065594758 22686025124 28357531405 39700543967 42131189516 52663986895 56715062810 73729581653 79401087934 105327973790 113430125620 147459163306 158802175868 198502719835 210655947580 294918326612 368647908265 397005439670 516107071571 737295816530 794010879340 1032214143142 1474591633060 2064428286284 2580535357855 5161070715710 10322141431420