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132010022000 = 2453596911619
BaseRepresentation
bin111101011110001101…
…0010001010001110000
3110121202000010221110002
41322330122101101300
54130324031201000
6140351120525132
712352221446543
oct1727432212160
9417660127402
10132010022000
1150a9224143a
1221701a807a8
13c5aa44a76c
14656441285a
1536795558d5
hex1ebc691470

132010022000 has 160 divisors (see below), whose sum is σ = 325280966400. Its totient is φ = 51801888000.

The previous prime is 132010021999. The next prime is 132010022033. The reversal of 132010022000 is 220010231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81537191 + ... + 81538809.

It is an arithmetic number, because the mean of its divisors is an integer number (2033006040).

Almost surely, 2132010022000 is an apocalyptic number.

132010022000 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 132010022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162640483200).

132010022000 is an abundant number, since it is smaller than the sum of its proper divisors (193270944400).

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

132010022000 is a wasteful number, since it uses less digits than its factorization.

132010022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 132010022000 its reverse (220010231), we get a palindrome (132230032231).

The spelling of 132010022000 in words is "one hundred thirty-two billion, ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 691 944 1000 1180 1382 1475 1619 2000 2360 2764 2950 3238 3455 4720 5528 5900 6476 6910 7375 8095 11056 11800 12952 13820 14750 16190 17275 23600 25904 27640 29500 32380 34550 40475 40769 55280 59000 64760 69100 80950 81538 86375 95521 118000 129520 138200 161900 163076 172750 191042 202375 203845 276400 323800 326152 345500 382084 404750 407690 477605 647600 652304 691000 764168 809500 815380 955210 1019225 1118729 1382000 1528336 1619000 1630760 1910420 2038450 2237458 2388025 3238000 3261520 3820840 4076900 4474916 4776050 5096125 5593645 7641680 8153800 8949832 9552100 10192250 11187290 11940125 16307600 17899664 19104200 20384500 22374580 23880250 27968225 38208400 40769000 44749160 47760500 55936450 66005011 81538000 89498320 95521000 111872900 132010022 139841125 191042000 223745800 264020044 279682250 330025055 447491600 528040088 559364500 660050110 1056080176 1118729000 1320100220 1650125275 2237458000 2640200440 3300250550 5280400880 6600501100 8250626375 13201002200 16501252750 26402004400 33002505500 66005011000 132010022000