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132002210310200 = 23521739319876413
BaseRepresentation
bin11110000000111000101000…
…110110101110100000111000
3122022101021202222221112022122
4132000320220312232200320
5114300211011314411300
61144424551145340412
736542562553426556
oct3600705066564070
9568337688845278
10132002210310200
113907290647a85a
121297aab5197708
1358869a7a1a9c9
142484d26410bd6
15103da3162cc85
hex780e28dae838

132002210310200 has 96 divisors (see below), whose sum is σ = 325041080927760. Its totient is φ = 49682302924800.

The previous prime is 132002210310169. The next prime is 132002210310233. The reversal of 132002210310200 is 2013012200231.

It is a super-4 number, since 4×1320022103102004 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8427194 + ... + 18303606.

Almost surely, 2132002210310200 is an apocalyptic number.

132002210310200 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 132002210310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162520540463880).

132002210310200 is an abundant number, since it is smaller than the sum of its proper divisors (193038870617560).

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

132002210310200 is a wasteful number, since it uses less digits than its factorization.

132002210310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880377 (or 9880368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 132002210310200 its reverse (2013012200231), we get a palindrome (134015222510431).

The spelling of 132002210310200 in words is "one hundred thirty-two trillion, two billion, two hundred ten million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 3931 7862 15724 19655 31448 39310 66827 78620 98275 133654 157240 196550 267308 334135 393100 534616 668270 786200 1336540 1670675 2673080 3341350 6682700 9876413 13365400 19752826 39505652 49382065 79011304 98764130 167899021 197528260 246910325 335798042 395056520 493820650 671596084 839495105 987641300 1343192168 1678990210 1975282600 3357980420 4197475525 6715960840 8394951050 16789902100 33579804200 38824179503 77648359006 155296718012 194120897515 310593436024 388241795030 660011051551 776483590060 970604487575 1320022103102 1552967180120 1941208975150 2640044206204 3300055257755 3882417950300 5280088412408 6600110515510 7764835900600 13200221031020 16500276288775 26400442062040 33000552577550 66001105155100 132002210310200