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152202130000 = 245416791139
BaseRepresentation
bin1000110110111111110…
…1000011001001010000
3112112212020011022022221
42031233331003021100
54443202221130000
6153530511510424
713665465521224
oct2155775031120
9475766138287
10152202130000
1159604152aa8
12255b8228414
131147787846b
14751c024784
153e5c0bc61a
hex236ff43250

152202130000 has 100 divisors (see below), whose sum is σ = 370707210720. Its totient is φ = 60515632000.

The previous prime is 152202129917. The next prime is 152202130001. The reversal of 152202130000 is 31202251.

152202130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152202130001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1624431 + ... + 1715569.

Almost surely, 2152202130000 is an apocalyptic number.

152202130000 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 152202130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185353605360).

152202130000 is an abundant number, since it is smaller than the sum of its proper divisors (218505080720).

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

152202130000 is an equidigital number, since it uses as much as digits as its factorization.

152202130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91334 (or 91313 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 152202130000 its reverse (31202251), we get a palindrome (152233332251).

The spelling of 152202130000 in words is "one hundred fifty-two billion, two hundred two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 625 668 835 1000 1250 1336 1670 2000 2500 2672 3340 4175 5000 6680 8350 10000 13360 16700 20875 33400 41750 66800 83500 91139 104375 167000 182278 208750 334000 364556 417500 455695 729112 835000 911390 1458224 1670000 1822780 2278475 3645560 4556950 7291120 9113900 11392375 15220213 18227800 22784750 30440426 36455600 45569500 56961875 60880852 76101065 91139000 113923750 121761704 152202130 182278000 227847500 243523408 304404260 380505325 455695000 608808520 761010650 911390000 1217617040 1522021300 1902526625 3044042600 3805053250 6088085200 7610106500 9512633125 15220213000 19025266250 30440426000 38050532500 76101065000 152202130000