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132000303201320 = 23531725494084001
BaseRepresentation
bin11110000000110110110111…
…001011101011110000101000
3122022101002212002101100202102
4132000312313023223300220
5114300143110104420240
61144424034021352532
736542464365321431
oct3600666713536050
9568332762340672
10132000303201320
1139072017a09714
121297a662568748
135886762898508
142484bc5016488
15103d96deb8815
hex780db72ebc28

132000303201320 has 64 divisors (see below), whose sum is σ = 298054549962000. Its totient is φ = 52612897792000.

The previous prime is 132000303201311. The next prime is 132000303201329. The reversal of 132000303201320 is 23102303000231.

It is an interprime number because it is at equal distance from previous prime (132000303201311) and next prime (132000303201329).

It can be written as a sum of positive squares in 8 ways, for example, as 21081449834116 + 110918853367204 = 4591454^2 + 10531802^2 .

It is a super-2 number, since 2×1320003032013202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132000303201292 and 132000303201301.

It is not an unprimeable number, because it can be changed into a prime (132000303201329) 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, 30279320 + ... + 34363320.

Almost surely, 2132000303201320 is an apocalyptic number.

132000303201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132000303201320 is an abundant number, since it is smaller than the sum of its proper divisors (166054246760680).

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

132000303201320 is a wasteful number, since it uses less digits than its factorization.

132000303201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086878 (or 4086874 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 132000303201320 its reverse (23102303000231), we get a palindrome (155102606201551).

The spelling of 132000303201320 in words is "one hundred thirty-two trillion, three hundred three million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 317 634 1268 1585 2536 2549 3170 5098 6340 10196 12680 12745 20392 25490 50980 101960 808033 1616066 3232132 4040165 4084001 6464264 8080330 8168002 16160660 16336004 20420005 32321320 32672008 40840010 81680020 163360040 1294628317 2589256634 5178513268 6473141585 10357026536 10410118549 12946283170 20820237098 25892566340 41640474196 51785132680 52050592745 83280948392 104101185490 208202370980 416404741960 3300007580033 6600015160066 13200030320132 16500037900165 26400060640264 33000075800330 66000151600660 132000303201320