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214123343133120 = 26351673091333133
BaseRepresentation
bin110000101011111001111001…
…110011100011100111000000
31001002010222202221102101022120
4300223321321303203213000
5211031144101320224440
62035222523400004240
763046621024220361
oct6053717163434700
91032128687371276
10214123343133120
1162254222018493
1220022656460680
13926298ac02165
143ac38a7401b68
1519b4c8d6b5dd0
hexc2be79ce39c0

214123343133120 has 112 divisors (see below), whose sum is σ = 679846187797920. Its totient is φ = 57099174055936.

The previous prime is 214123343133113. The next prime is 214123343133127. The reversal of 214123343133120 is 21331343321412.

It is an interprime number because it is at equal distance from previous prime (214123343133113) and next prime (214123343133127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214123343133127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159950074 + ... + 161283206.

Almost surely, 2214123343133120 is an apocalyptic number.

214123343133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214123343133120 is an abundant number, since it is smaller than the sum of its proper divisors (465722844664800).

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

214123343133120 is a wasteful number, since it uses less digits than its factorization.

214123343133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500462 (or 1500452 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 214123343133120 its reverse (21331343321412), we get a palindrome (235454686454532).

The spelling of 214123343133120 in words is "two hundred fourteen trillion, one hundred twenty-three billion, three hundred forty-three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 167309 334618 501927 669236 836545 1003854 1333133 1338472 1673090 2007708 2509635 2666266 2676944 3346180 3999399 4015416 5019270 5332532 5353888 6665665 6692360 7998798 8030832 10038540 10665064 10707776 13331330 13384720 15997596 16061664 19996995 20077080 21330128 26662660 26769440 31995192 32123328 39993990 40154160 42660256 53325320 53538880 63990384 79987980 80308320 85320512 106650640 127980768 159975960 160616640 213301280 255961536 319951920 426602560 639903840 1279807680 223045149097 446090298194 669135447291 892180596388 1115225745485 1338270894582 1784361192776 2230451490970 2676541789164 3345677236455 3568722385552 4460902981940 5353083578328 6691354472910 7137444771104 8921805963880 10706167156656 13382708945820 14274889542208 17843611927760 21412334313312 26765417891640 35687223855520 42824668626624 53530835783280 71374447711040 107061671566560 214123343133120