Search a number
-
+
31850221410 = 23757208049
BaseRepresentation
bin11101101010011010…
…111100111101100010
310001012200210220000000
4131222122330331202
51010212124041120
622344244440430
72205164262240
oct355232747542
9101180726000
1031850221410
111256468a837
12620a6a9116
1330077ba277
141782075790
15c662a2990
hex76a6bcf62

31850221410 has 128 divisors (see below), whose sum is σ = 98266176000. Its totient is φ = 7280015616.

The previous prime is 31850221409. The next prime is 31850221421. The reversal of 31850221410 is 1412205813.

31850221410 is a `hidden beast` number, since 3 + 18 + 502 + 2 + 141 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49066 + ... + 257114.

It is an arithmetic number, because the mean of its divisors is an integer number (767704500).

Almost surely, 231850221410 is an apocalyptic number.

31850221410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31850221410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49133088000).

31850221410 is an abundant number, since it is smaller than the sum of its proper divisors (66415954590).

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

31850221410 is an equidigital number, since it uses as much as digits as its factorization.

31850221410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208084 (or 208066 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 31850221410 in words is "thirty-one billion, eight hundred fifty million, two hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 1134 1215 1458 1701 1890 2187 2430 2835 3402 3645 4374 5103 5670 7290 8505 10206 10935 15309 17010 21870 25515 30618 51030 76545 153090 208049 416098 624147 1040245 1248294 1456343 1872441 2080490 2912686 3120735 3744882 4369029 5617323 6241470 7281715 8738058 9362205 11234646 13107087 14563430 16851969 18724410 21845145 26214174 28086615 33703938 39321261 43690290 50555907 56173230 65535435 78642522 84259845 101111814 117963783 131070870 151667721 168519690 196606305 235927566 252779535 303335442 353891349 393212610 455003163 505559070 589818915 707782698 758338605 910006326 1061674047 1179637830 1516677210 1769456745 2123348094 2275015815 3185022141 3538913490 4550031630 5308370235 6370044282 10616740470 15925110705 31850221410