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1303213020102 = 232715174392189
BaseRepresentation
bin10010111101101101100…
…011001001001111000110
311121120211011012210012200
4102331231203021033012
5132322440013120402
62434404321455330
7163103555620050
oct22755543111706
94546734183180
101303213020102
11462764858804
121906a34a1546
1395b7a974376
144710c1a28d0
1523d7604621c
hex12f6d8c93c6

1303213020102 has 96 divisors (see below), whose sum is σ = 3252781808640. Its totient is φ = 369378878400.

The previous prime is 1303213020101. The next prime is 1303213020113. The reversal of 1303213020102 is 2010203123031.

1303213020102 is a `hidden beast` number, since 1 + 30 + 321 + 302 + 0 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303213020101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14090224 + ... + 14182412.

It is an arithmetic number, because the mean of its divisors is an integer number (33883143840).

Almost surely, 21303213020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303213020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626390904320).

1303213020102 is an abundant number, since it is smaller than the sum of its proper divisors (1949568788538).

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

1303213020102 is a wasteful number, since it uses less digits than its factorization.

1303213020102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93098 (or 93095 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1303213020102 its reverse (2010203123031), we get a palindrome (3313416143133).

The spelling of 1303213020102 in words is "one trillion, three hundred three billion, two hundred thirteen million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 302 453 743 906 1057 1359 1486 2114 2229 2718 3171 4458 5201 6342 6687 9513 10402 13374 15603 19026 31206 46809 92189 93618 112193 184378 224386 276567 336579 553134 645323 673158 785351 829701 1009737 1290646 1570702 1659402 1935969 2019474 2356053 3871938 4712106 5807907 7068159 11615814 13920539 14136318 27841078 41761617 68496427 83523234 97443773 125284851 136992854 194887546 205489281 250569702 292331319 410978562 479474989 584662638 616467843 876993957 958949978 1232935686 1438424967 1753987914 2876849934 4315274901 8630549802 10342960477 20685920954 31028881431 62057762862 72400723339 93086644293 144801446678 186173288586 217202170017 434404340034 651606510051 1303213020102