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10132422141400 = 23521322411243883
BaseRepresentation
bin1001001101110010001101…
…1011000010010111011000
31022212122112220212000210221
42103130203123002113120
52312002200032011100
633314434231045424
72064020603103346
oct223344333022730
938778486760727
1010132422141400
1132571551688a9
121177893810874
13586638a9ba00
142705aa17c996
1512887a75301a
hex937236c25d8

10132422141400 has 144 divisors (see below), whose sum is σ = 25615290773160. Its totient is φ = 3725675366400.

The previous prime is 10132422141367. The next prime is 10132422141419. The reversal of 10132422141400 is 414122423101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7523859 + ... + 8767741.

Almost surely, 210132422141400 is an apocalyptic number.

10132422141400 is a gapful number since it is divisible by the number (10) 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 10132422141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807645386580).

10132422141400 is an abundant number, since it is smaller than the sum of its proper divisors (15482868631760).

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

10132422141400 is a wasteful number, since it uses less digits than its factorization.

10132422141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244166 (or 1244144 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10132422141400 its reverse (414122423101), we get a palindrome (10546544564501).

The spelling of 10132422141400 in words is "ten trillion, one hundred thirty-two billion, four hundred twenty-two million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 241 260 325 338 482 520 650 676 845 964 1205 1300 1352 1690 1928 2410 2600 3133 3380 4225 4820 6025 6266 6760 8450 9640 12050 12532 15665 16900 24100 25064 31330 33800 40729 48200 62660 78325 81458 125320 156650 162916 203645 313300 325832 407290 626600 814580 1018225 1243883 1629160 2036450 2487766 4072900 4975532 6219415 8145800 9951064 12438830 16170479 24877660 31097075 32340958 49755320 62194150 64681916 80852395 124388300 129363832 161704790 210216227 248776600 299775803 323409580 404261975 420432454 599551606 646819160 808523950 840864908 1051081135 1199103212 1498879015 1617047900 1681729816 2102162270 2398206424 2997758030 3234095800 3897085439 4204324540 5255405675 5995516060 7494395075 7794170878 8408649080 10510811350 11991032120 14988790150 15588341756 19485427195 21021622700 29977580300 31176683512 38970854390 42043245400 50662110707 59955160600 77941708780 97427135975 101324221414 155883417560 194854271950 202648442828 253310553535 389708543900 405296885656 506621107070 779417087800 1013242214140 1266552767675 2026484428280 2533105535350 5066211070700 10132422141400