Search a number
-
+
31332212300 = 22522341437727
BaseRepresentation
bin11101001011100010…
…111001111001001100
32222212121002022002102
4131023202321321030
51003132021243200
622221022014232
72156304260504
oct351342717114
988777068072
1031332212300
1112319242934
1260a5117378
132c5439acbc
141733352a04
15c35a7d6d5
hex74b8b9e4c

31332212300 has 144 divisors (see below), whose sum is σ = 74377239552. Its totient is φ = 11422118400.

The previous prime is 31332212293. The next prime is 31332212339. The reversal of 31332212300 is 321223313.

It is a super-2 number, since 2×313322123002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4051037 + ... + 4058763.

It is an arithmetic number, because the mean of its divisors is an integer number (516508608).

Almost surely, 231332212300 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 31332212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37188619776).

31332212300 is an abundant number, since it is smaller than the sum of its proper divisors (43045027252).

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

31332212300 is a wasteful number, since it uses less digits than its factorization.

31332212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31332212300 its reverse (321223313), we get a palindrome (31653435613).

The spelling of 31332212300 in words is "thirty-one billion, three hundred thirty-two million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 41 43 46 50 82 86 92 100 115 164 172 205 215 230 410 430 460 575 820 860 943 989 1025 1075 1150 1763 1886 1978 2050 2150 2300 3526 3772 3956 4100 4300 4715 4945 7052 7727 8815 9430 9890 15454 17630 18860 19780 23575 24725 30908 35260 38635 40549 44075 47150 49450 77270 81098 88150 94300 98900 154540 162196 176300 177721 193175 202745 316807 332261 355442 386350 405490 633614 664522 710884 772700 810980 888605 1013725 1267228 1329044 1584035 1661305 1777210 2027450 3168070 3322610 3554420 4054900 4443025 6336140 6645220 7286561 7642003 7920175 8306525 8886050 13622701 14573122 15284006 15840350 16613050 17772100 27245402 29146244 30568012 31680700 33226100 36432805 38210015 54490804 68113505 72865610 76420030 136227010 145731220 152840060 182164025 191050075 272454020 313322123 340567525 364328050 382100150 626644246 681135050 728656100 764200300 1253288492 1362270100 1566610615 3133221230 6266442460 7833053075 15666106150 31332212300