Search a number
-
+
31213414320 = 24351119622277
BaseRepresentation
bin11101000100011101…
…101110011110110000
32222120022112201220020
4131010131232132300
51002411113224240
622201135443440
72153332433634
oct350435563660
988508481806
1031213414320
1112268182190
126071386580
132c358a523a
14172166adc4
15c2a4140d0
hex74476e7b0

31213414320 has 160 divisors (see below), whose sum is σ = 111113959680. Its totient is φ = 7168619520.

The previous prime is 31213414289. The next prime is 31213414321. The reversal of 31213414320 is 2341431213.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (31213414321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260979 + ... + 361298.

It is an arithmetic number, because the mean of its divisors is an integer number (694462248).

Almost surely, 231213414320 is an apocalyptic number.

31213414320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31213414320 is an abundant number, since it is smaller than the sum of its proper divisors (79900545360).

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

31213414320 is a wasteful number, since it uses less digits than its factorization.

31213414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622323 (or 622317 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31213414320 its reverse (2341431213), we get a palindrome (33554845533).

The spelling of 31213414320 in words is "thirty-one billion, two hundred thirteen million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 622277 1244554 1866831 2489108 3111385 3733662 4978216 6222770 6845047 7467324 9334155 9956432 11823263 12445540 13690094 14934648 18668310 20535141 23646526 24891080 27380188 29869296 34225235 35469789 37336620 41070282 47293052 49782160 54760376 59116315 68450470 70939578 74673240 82140564 94586104 102675705 109520752 118232630 130055893 136900940 141879156 149346480 164281128 177348945 189172208 205351410 236465260 260111786 273801880 283758312 328562256 354697890 390167679 410702820 472930520 520223572 547603760 567516624 650279465 709395780 780335358 821405640 945861040 1040447144 1300558930 1418791560 1560670716 1642811280 1950838395 2080894288 2601117860 2837583120 3121341432 3901676790 5202235720 6242682864 7803353580 10404471440 15606707160 31213414320