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3420023111000 = 235323193770449
BaseRepresentation
bin110001110001001001010…
…000110011110101011000
3110002221200021212002000122
4301301021100303311120
5422013201404023000
611135045324252412
7502042234536026
oct61611120636530
913087607762018
103420023111000
1110a94729827a1
124729a69a1108
131ba678578302
14bb75c479716
155de68e21085
hex31c49433d58

3420023111000 has 128 divisors (see below), whose sum is σ = 8394083568000. Its totient is φ = 1301748940800.

The previous prime is 3420023110967. The next prime is 3420023111033. The reversal of 3420023111000 is 1113200243.

It is an interprime number because it is at equal distance from previous prime (3420023110967) and next prime (3420023111033).

It is a self number, because there is not a number n which added to its sum of digits gives 3420023111000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4053776 + ... + 4824224.

It is an arithmetic number, because the mean of its divisors is an integer number (65578777875).

Almost surely, 23420023111000 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 3420023111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197041784000).

3420023111000 is an abundant number, since it is smaller than the sum of its proper divisors (4974060457000).

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

3420023111000 is a wasteful number, since it uses less digits than its factorization.

3420023111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770686 (or 770672 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 3420023111000 its reverse (1113200243), we get a palindrome (3421136311243).

The spelling of 3420023111000 in words is "three trillion, four hundred twenty billion, twenty-three million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 193 200 230 250 386 460 500 575 772 920 965 1000 1150 1544 1930 2300 2875 3860 4439 4600 4825 5750 7720 8878 9650 11500 17756 19300 22195 23000 24125 35512 38600 44390 48250 88780 96500 110975 177560 193000 221950 443900 554875 770449 887800 1109750 1540898 2219500 3081796 3852245 4439000 6163592 7704490 15408980 17720327 19261225 30817960 35440654 38522450 70881308 77044900 88601635 96306125 141762616 148696657 154089800 177203270 192612250 297393314 354406540 385224500 443008175 594786628 708813080 743483285 770449000 886016350 1189573256 1486966570 1772032700 2215040875 2973933140 3420023111 3544065400 3717416425 4430081750 5947866280 6840046222 7434832850 8860163500 13680092444 14869665700 17100115555 17720327000 18587082125 27360184888 29739331400 34200231110 37174164250 68400462220 74348328500 85500577775 136800924440 148696657000 171001155550 342002311100 427502888875 684004622200 855005777750 1710011555500 3420023111000