Search a number
-
+
22123313202120 = 23351334667409081
BaseRepresentation
bin1010000011110111111000…
…01110011000001111001000
32220022222010201212001222220
411001323330032120033020
510344432021134431440
6115015150525014040
74442233216321524
oct501737416301710
986288121761886
1022123313202120
11705a498604809
1225937909b4320
13c462b12879a0
14566aba0a8d84
15285728b288d0
hex141efc3983c8

22123313202120 has 128 divisors (see below), whose sum is σ = 71477556071040. Its totient is φ = 5445568235520.

The previous prime is 22123313202119. The next prime is 22123313202121. The reversal of 22123313202120 is 2120231332122.

It is an interprime number because it is at equal distance from previous prime (22123313202119) and next prime (22123313202121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22123313202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53875980 + ... + 54285060.

It is an arithmetic number, because the mean of its divisors is an integer number (558418406805).

Almost surely, 222123313202120 is an apocalyptic number.

22123313202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123313202120 is an abundant number, since it is smaller than the sum of its proper divisors (49354242868920).

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

22123313202120 is a wasteful number, since it uses less digits than its factorization.

22123313202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443775 (or 443771 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22123313202120 its reverse (2120231332122), we get a palindrome (24243544534242).

The spelling of 22123313202120 in words is "twenty-two trillion, one hundred twenty-three billion, three hundred thirteen million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 34667 69334 104001 138668 173335 208002 277336 346670 409081 416004 450671 520005 693340 818162 832008 901342 1040010 1227243 1352013 1386680 1636324 1802684 2045405 2080020 2253355 2454486 2704026 3272648 3605368 4090810 4160040 4506710 4908972 5318053 5408052 6136215 6760065 8181620 9013420 9817944 10636106 10816104 12272430 13520130 15954159 16363240 18026840 21272212 24544860 26590265 27040260 31908318 42544424 49089720 53180530 54080520 63816636 79770795 106361060 127633272 159541590 212722120 319083180 638166360 14181611027 28363222054 42544833081 56726444108 70908055135 85089666162 113452888216 141816110270 170179332324 184360943351 212724165405 283632220540 340358664648 368721886702 425448330810 553082830053 567264441080 737443773404 850896661620 921804716755 1106165660106 1474887546808 1701793323240 1843609433510 2212331320212 2765414150265 3687218867020 4424662640424 5530828300530 7374437734040 11061656601060 22123313202120