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3011331020022 = 23213432291306889
BaseRepresentation
bin101011110100100001010…
…100001101010011110110
3101122212202211120201210100
4223310201110031103312
5343314201220120042
610223215242334530
7430363406223633
oct53644124152366
911585684521710
103011331020022
11a61109945836
124077487ba446
1318ac761c6690
14a5a6bb3318a
15534e93bd24c
hex2bd2150d4f6

3011331020022 has 96 divisors (see below), whose sum is σ = 7221246832800. Its totient is φ = 901062683136.

The previous prime is 3011331019987. The next prime is 3011331020051. The reversal of 3011331020022 is 2200201331103.

3011331020022 is a `hidden beast` number, since 301 + 13 + 310 + 20 + 0 + 22 = 666.

3011331020022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30113310200222 (a number of 26 digits) contains 22 as substring.

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 = 3011331019977 and 3011331020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650754 + ... + 2957642.

It is an arithmetic number, because the mean of its divisors is an integer number (75221321175).

Almost surely, 23011331020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3011331020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610623416400).

3011331020022 is an abundant number, since it is smaller than the sum of its proper divisors (4209915812778).

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

3011331020022 is a wasteful number, since it uses less digits than its factorization.

3011331020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307182 (or 1307179 counting only the distinct ones).

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

Adding to 3011331020022 its reverse (2200201331103), we get a palindrome (5211532351125).

The spelling of 3011331020022 in words is "three trillion, eleven billion, three hundred thirty-one million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 229 234 258 387 458 559 687 774 1118 1374 1677 2061 2977 3354 4122 5031 5954 8931 9847 10062 17862 19694 26793 29541 53586 59082 88623 128011 177246 256022 384033 768066 1152099 1306889 2304198 2613778 3920667 7841334 11762001 16989557 23524002 33979114 50968671 56196227 101937342 112392454 152906013 168588681 299277581 305812026 337177362 505766043 598555162 730550951 897832743 1011532086 1461101902 1795665486 2191652853 2693498229 3890608553 4383305706 5386996458 6574958559 7781217106 11671825659 12868935983 13149917118 23343651318 25737871966 35015476977 38606807949 70030953954 77213615898 115820423847 167296167779 231640847694 334592335558 501888503337 1003777006674 1505665510011 3011331020022