Search a number
-
+
1302202130031 = 3211371572264341
BaseRepresentation
bin10010111100110001010…
…010111001111001101111
311121111012201001020201200
4102330301102321321233
5132313402221130111
62434120130540543
7163036532321505
oct22746122717157
94544181036650
101302202130031
11462296177070
12190460a37753
1395a493c346a
1447053c1c675
1523d17413256
hex12f314b9e6f

1302202130031 has 48 divisors (see below), whose sum is σ = 2120837061408. Its totient is φ = 762992006400.

The previous prime is 1302202130027. The next prime is 1302202130051. The reversal of 1302202130031 is 1300312022031.

1302202130031 is a `hidden beast` number, since 1 + 302 + 202 + 130 + 0 + 31 = 666.

It is not a de Polignac number, because 1302202130031 - 22 = 1302202130027 is a prime.

It is a super-2 number, since 2×13022021300312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1302202129986 and 1302202130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302202130051) 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, 557080 + ... + 1707261.

It is an arithmetic number, because the mean of its divisors is an integer number (44184105446).

Almost surely, 21302202130031 is an apocalyptic number.

1302202130031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1302202130031 is a deficient number, since it is larger than the sum of its proper divisors (818634931377).

1302202130031 is a wasteful number, since it uses less digits than its factorization.

1302202130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264552 (or 2264549 counting only the distinct ones).

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

Adding to 1302202130031 its reverse (1300312022031), we get a palindrome (2602514152062).

The spelling of 1302202130031 in words is "one trillion, three hundred two billion, two hundred two million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 9 11 33 37 99 111 157 333 407 471 1221 1413 1727 3663 5181 5809 15543 17427 52281 63899 191697 575091 2264341 6793023 20379069 24907751 74723253 83780617 224169759 251341851 355501537 754025553 921586787 1066504611 2764760361 3199513833 3910516907 8294281083 11731550721 13153556869 35194652163 39460670607 118382011821 144689125559 434067376677 1302202130031