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10132422000 = 2435310915493
BaseRepresentation
bin10010110111111000…
…00111110101110000
3222011010221100221220
421123330013311300
5131222400001000
64353232545040
7506043110631
oct113374076560
928133840856
1010132422000
11432a540688
121b693b2180
13c5627349c
146c1993888
153e48191a0
hex25bf07d70

10132422000 has 160 divisors (see below), whose sum is σ = 32968752960. Its totient is φ = 2677017600.

The previous prime is 10132421953. The next prime is 10132422017. The reversal of 10132422000 is 22423101.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 646254 + ... + 661746.

It is an arithmetic number, because the mean of its divisors is an integer number (206054706).

Almost surely, 210132422000 is an apocalyptic number.

10132422000 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 10132422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484376480).

10132422000 is an abundant number, since it is smaller than the sum of its proper divisors (22836330960).

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

10132422000 is a wasteful number, since it uses less digits than its factorization.

10132422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15628 (or 15612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10132422000 its reverse (22423101), we get a palindrome (10154845101).

The spelling of 10132422000 in words is "ten billion, one hundred thirty-two million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 109 120 125 150 200 218 240 250 300 327 375 400 436 500 545 600 654 750 872 1000 1090 1200 1308 1500 1635 1744 2000 2180 2616 2725 3000 3270 4360 5232 5450 6000 6540 8175 8720 10900 13080 13625 15493 16350 21800 26160 27250 30986 32700 40875 43600 46479 54500 61972 65400 77465 81750 92958 109000 123944 130800 154930 163500 185916 218000 232395 247888 309860 327000 371832 387325 464790 619720 654000 743664 774650 929580 1161975 1239440 1549300 1688737 1859160 1936625 2323950 3098600 3377474 3718320 3873250 4647900 5066211 5809875 6197200 6754948 7746500 8443685 9295800 10132422 11619750 13509896 15493000 16887370 18591600 20264844 23239500 25331055 27019792 30986000 33774740 40529688 42218425 46479000 50662110 67549480 81059376 84436850 92958000 101324220 126655275 135098960 168873700 202648440 211092125 253310550 337747400 405296880 422184250 506621100 633276375 675494800 844368500 1013242200 1266552750 1688737000 2026484400 2533105500 3377474000 5066211000 10132422000