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1010131430320 = 245235211053713
BaseRepresentation
bin11101011001100001000…
…01100110101110110000
310120120022210111102010001
432230300201212232300
5113022222121232240
62052014210115344
7132656666326525
oct16546041465660
93516283442101
101010131430320
1135a437949501
1214392ab7bb54
137434128281c
1436c67c1d14c
151b420e3689a
hexeb30866bb0

1010131430320 has 80 divisors (see below), whose sum is σ = 2455372792512. Its totient is φ = 385742888960.

The previous prime is 1010131430309. The next prime is 1010131430339. The reversal of 1010131430320 is 230341310101.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 431784 + ... + 1485496.

Almost surely, 21010131430320 is an apocalyptic number.

1010131430320 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 1010131430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227686396256).

1010131430320 is an abundant number, since it is smaller than the sum of its proper divisors (1445241362192).

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

1010131430320 is a wasteful number, since it uses less digits than its factorization.

1010131430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054270 (or 1054264 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1010131430320 its reverse (230341310101), we get a palindrome (1240472740421).

The spelling of 1010131430320 in words is "one trillion, ten billion, one hundred thirty-one million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 521 920 1042 1840 2084 2605 4168 5210 8336 10420 11983 20840 23966 41680 47932 59915 95864 119830 191728 239660 479320 958640 1053713 2107426 4214852 5268565 8429704 10537130 16859408 21074260 24235399 42148520 48470798 84297040 96941596 121176995 193883192 242353990 387766384 484707980 548984473 969415960 1097968946 1938831920 2195937892 2744922365 4391875784 5489844730 8783751568 10979689460 12626642879 21959378920 25253285758 43918757840 50506571516 63133214395 101013143032 126266428790 202026286064 252532857580 505065715160 1010131430320