Search a number
-
+
3021031120032 = 253289117861701
BaseRepresentation
bin101011111101100011011…
…111001001110010100000
3101200210210212000212110200
4223331203133021302200
5343444032431320112
610231501553225200
7431155652553612
oct53754337116240
911623725025420
103021031120032
11a65237344512
124095b5262200
1318bb60a1c723
14a630c10adb2
15538b5c8bcdc
hex2bf637c9ca0

3021031120032 has 72 divisors (see below), whose sum is σ = 8687586054420. Its totient is φ = 995695641600.

The previous prime is 3021031120001. The next prime is 3021031120061. The reversal of 3021031120032 is 2300211301203.

3021031120032 is a `hidden beast` number, since 302 + 1 + 0 + 311 + 20 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2980470771216 + 40560348816 = 1726404^2 + 201396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3021031119987 and 3021031120014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58905219 + ... + 58956482.

Almost surely, 23021031120032 is an apocalyptic number.

3021031120032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3021031120032 is an abundant number, since it is smaller than the sum of its proper divisors (5666554934388).

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

3021031120032 is a wasteful number, since it uses less digits than its factorization.

3021031120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117861806 (or 117861795 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3021031120032 its reverse (2300211301203), we get a palindrome (5321242421235).

The spelling of 3021031120032 in words is "three trillion, twenty-one billion, thirty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 117861701 235723402 353585103 471446804 707170206 942893608 1060755309 1414340412 1885787216 2121510618 2828680824 3771574432 4243021236 5657361648 8486042472 10489691389 11314723296 16972084944 20979382778 31469074167 33944169888 41958765556 62938148334 83917531112 94407222501 125876296668 167835062224 188814445002 251752593336 335670124448 377628890004 503505186672 755257780008 1007010373344 1510515560016 3021031120032