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153302120000 = 265429132157
BaseRepresentation
bin1000111011000110000…
…1001011011001000000
3112122200212222120221022
42032301201023121000
510002430320320000
6154232004245012
714034653343161
oct2166141133100
9478625876838
10153302120000
115a019060847
12258646a0768
13115c1724713
1475c415d768
153ec3950585
hex23b184b640

153302120000 has 140 divisors (see below), whose sum is σ = 393250666380. Its totient is φ = 59205888000.

The previous prime is 153302119979. The next prime is 153302120057. The reversal of 153302120000 is 21203351.

It can be written as a sum of positive squares in 10 ways, for example, as 111070225984 + 42231894016 = 333272^2 + 205504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1093922 + ... + 1226078.

Almost surely, 2153302120000 is an apocalyptic number.

153302120000 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 153302120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196625333190).

153302120000 is an abundant number, since it is smaller than the sum of its proper divisors (239948546380).

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

153302120000 is an equidigital number, since it uses as much as digits as its factorization.

153302120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132218 (or 132193 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 153302120000 its reverse (21203351), we get a palindrome (153323323351).

The spelling of 153302120000 in words is "one hundred fifty-three billion, three hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 18125 20000 23200 29000 36250 40000 46400 58000 72500 116000 132157 145000 232000 264314 290000 528628 580000 660785 1057256 1160000 1321570 2114512 2643140 3303925 3832553 4229024 5286280 6607850 7665106 8458048 10572560 13215700 15330212 16519625 19162765 21145120 26431400 30660424 33039250 38325530 42290240 52862800 61320848 66078500 76651060 82598125 95813825 105725600 122641696 132157000 153302120 165196250 191627650 211451200 245283392 264314000 306604240 330392500 383255300 479069125 528628000 613208480 660785000 766510600 958138250 1057256000 1226416960 1321570000 1533021200 1916276500 2395345625 2643140000 3066042400 3832553000 4790691250 5286280000 6132084800 7665106000 9581382500 15330212000 19162765000 30660424000 38325530000 76651060000 153302120000