Search a number
-
+
330033212300 = 2252112313044791
BaseRepresentation
bin1001100110101111000…
…00110010101110001100
31011112212120201021211102
410303113200302232030
520401402000243200
6411340513042232
732562350006141
oct4632740625614
91145776637742
10330033212300
11117a6a165210
1253b67556378
1325178051b4c
1411d8bb543c8
1588b91986d5
hex4cd7832b8c

330033212300 has 72 divisors (see below), whose sum is σ = 815247320832. Its totient is φ = 114794152000.

The previous prime is 330033212293. The next prime is 330033212303. The reversal of 330033212300 is 3212330033.

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

It is not an unprimeable number, because it can be changed into a prime (330033212303) 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 23 ways as a sum of consecutive naturals, for example, 6497096 + ... + 6547695.

It is an arithmetic number, because the mean of its divisors is an integer number (11322879456).

Almost surely, 2330033212300 is an apocalyptic number.

It is an amenable number.

330033212300 is an abundant number, since it is smaller than the sum of its proper divisors (485214108532).

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

330033212300 is a wasteful number, since it uses less digits than its factorization.

330033212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13044839 (or 13044832 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 330033212300 its reverse (3212330033), we get a palindrome (333245542333).

The spelling of 330033212300 in words is "three hundred thirty billion, thirty-three million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 13044791 26089582 52179164 65223955 130447910 143492701 260895820 286985402 300030193 326119775 573970804 600060386 652239550 717463505 1200120772 1304479100 1434927010 1500150965 2869854020 3000301930 3300332123 3587317525 6000603860 6600664246 7174635050 7500754825 13201328492 14349270100 15001509650 16501660615 30003019300 33003321230 66006642460 82508303075 165016606150 330033212300