Search a number
-
+
331021220100 = 223521278688221
BaseRepresentation
bin1001101000100100110…
…01101111100100000100
31011122102102211021201220
410310102121233210010
520410412413020400
6412022525320340
732626004642304
oct4642231574404
91148372737656
10331021220100
1111842693808a
12541a24060b0
13252a495074c
141204305d604
158925cab7a0
hex4d1266f904

331021220100 has 72 divisors (see below), whose sum is σ = 965296217088. Its totient is φ = 87577257600.

The previous prime is 331021220083. The next prime is 331021220111. The reversal of 331021220100 is 1022120133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 331021220100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4306011 + ... + 4382210.

It is an arithmetic number, because the mean of its divisors is an integer number (13406891904).

Almost surely, 2331021220100 is an apocalyptic number.

331021220100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331021220100 is an abundant number, since it is smaller than the sum of its proper divisors (634274996988).

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

331021220100 is a wasteful number, since it uses less digits than its factorization.

331021220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688365 (or 8688358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 331021220100 its reverse (1022120133), we get a palindrome (332043340233).

The spelling of 331021220100 in words is "three hundred thirty-one billion, twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7620 9525 12700 19050 38100 8688221 17376442 26064663 34752884 43441105 52129326 86882210 104258652 130323315 173764420 217205525 260646630 434411050 521293260 651616575 868822100 1103404067 1303233150 2206808134 2606466300 3310212201 4413616268 5517020335 6620424402 11034040670 13240848804 16551061005 22068081340 27585101675 33102122010 55170203350 66204244020 82755305025 110340406700 165510610050 331021220100