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3422424110100 = 2235217719933329
BaseRepresentation
bin110001110011011000010…
…111111001010000010100
3110010011212121202110121020
4301303120113321100110
5422033111033010400
611140123454121140
7502155600643302
oct61633027712024
913104777673536
103422424110100
1110aa495207976
12473356ab01b0
131ba96bb23938
14bb9092b9272
155e059ae32a0
hex31cd85f9414

3422424110100 has 144 divisors (see below), whose sum is σ = 10499290502400. Its totient is φ = 857765765120.

The previous prime is 3422424110093. The next prime is 3422424110111. The reversal of 3422424110100 is 10114242243.

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, 3200236 + ... + 4133564.

It is an arithmetic number, because the mean of its divisors is an integer number (72911739600).

Almost surely, 23422424110100 is an apocalyptic number.

3422424110100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422424110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249645251200).

3422424110100 is an abundant number, since it is smaller than the sum of its proper divisors (7076866392300).

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

3422424110100 is a wasteful number, since it uses less digits than its factorization.

3422424110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934082 (or 934075 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3422424110100 its reverse (10114242243), we get a palindrome (3432538352343).

The spelling of 3422424110100 in words is "three trillion, four hundred twenty-two billion, four hundred twenty-four million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 719 850 1020 1275 1438 1700 2157 2550 2876 3595 4314 5100 7190 8628 10785 12223 14380 17975 21570 24446 35950 36669 43140 48892 53925 61115 71900 73338 107850 122230 146676 183345 215700 244460 305575 366690 611150 733380 916725 933329 1222300 1833450 1866658 2799987 3666900 3733316 4666645 5599974 9333290 11199948 13999935 15866593 18666580 23333225 27999870 31733186 46666450 47599779 55999740 63466372 69999675 79332965 93332900 95199558 139999350 158665930 190399116 237998895 279998700 317331860 396664825 475997790 671063551 793329650 951995580 1189994475 1342127102 1586659300 2013190653 2379988950 2684254204 3355317755 4026381306 4759977900 6710635510 8052762612 10065953265 11408080367 13421271020 16776588775 20131906530 22816160734 33553177550 34224241101 40263813060 45632321468 50329766325 57040401835 67106355100 68448482202 100659532650 114080803670 136896964404 171121205505 201319065300 228161607340 285202009175 342242411010 570404018350 684484822020 855606027525 1140808036700 1711212055050 3422424110100