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142313100320 = 2552934496761
BaseRepresentation
bin1000010010001010000…
…1011001010000100000
3111121100001012112212102
42010202201121100200
54312424123202240
6145213331345532
713165436252006
oct2044241312040
9447301175772
10142313100320
115539a0426a6
12236b84522a8
131055cb72c01
146c6090aa76
153a7dd2e815
hex2122859420

142313100320 has 96 divisors (see below), whose sum is σ = 338163562800. Its totient is φ = 56596234240.

The previous prime is 142313100247. The next prime is 142313100329. The reversal of 142313100320 is 23001313241.

It can be written as a sum of positive squares in 8 ways, for example, as 124160388496 + 18152711824 = 352364^2 + 134732^2 .

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 = 142313100292 and 142313100301.

It is not an unprimeable number, because it can be changed into a prime (142313100329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21045740 + ... + 21052500.

Almost surely, 2142313100320 is an apocalyptic number.

142313100320 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 142313100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169081781400).

142313100320 is an abundant number, since it is smaller than the sum of its proper divisors (195850462480).

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

142313100320 is a wasteful number, since it uses less digits than its factorization.

142313100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 142313100320 its reverse (23001313241), we get a palindrome (165314413561).

The spelling of 142313100320 in words is "one hundred forty-two billion, three hundred thirteen million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 449 586 898 1172 1465 1796 2245 2344 2930 3592 4490 4688 5860 6761 7184 8980 9376 11720 13522 14368 17960 23440 27044 33805 35920 46880 54088 67610 71840 108176 131557 135220 216352 263114 270440 526228 540880 657785 1052456 1081760 1315570 1980973 2104912 2631140 3035689 3961946 4209824 5262280 6071378 7923892 9904865 10524560 12142756 15178445 15847784 19809730 21049120 24285512 30356890 31695568 39619460 48571024 60713780 63391136 79238920 97142048 121427560 158477840 242855120 316955680 485710240 889456877 1778913754 3557827508 4447284385 7115655016 8894568770 14231310032 17789137540 28462620064 35578275080 71156550160 142313100320