Search a number
-
+
31002102201630 = 2357592724907889
BaseRepresentation
bin1110000110010001111010…
…10010011111110100011110
311001202202211210210002110210
413003020331102133310132
513030414301130423010
6145534100311113250
76346553664512040
oct703107522376436
9131682753702423
1031002102201630
119972a1051916a
1235884b9372826
13143b6410b6a81
1479271ca93a90
1538b680d8eb20
hex1c323d49fd1e

31002102201630 has 64 divisors (see below), whose sum is σ = 85048687825920. Its totient is φ = 7084998925824.

The previous prime is 31002102201607. The next prime is 31002102201661. The reversal of 31002102201630 is 3610220120013.

It is a super-2 number, since 2×310021022016302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31002102201597 and 31002102201606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11209275 + ... + 13698614.

It is an arithmetic number, because the mean of its divisors is an integer number (1328885747280).

Almost surely, 231002102201630 is an apocalyptic number.

31002102201630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31002102201630 is an abundant number, since it is smaller than the sum of its proper divisors (54046585624290).

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

31002102201630 is a wasteful number, since it uses less digits than its factorization.

31002102201630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24913833.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31002102201630 its reverse (3610220120013), we get a palindrome (34612322321643).

The spelling of 31002102201630 in words is "thirty-one trillion, two billion, one hundred two million, two hundred one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 5927 11854 17781 29635 35562 41489 59270 82978 88905 124467 177810 207445 248934 414890 622335 1244670 24907889 49815778 74723667 124539445 149447334 174355223 249078890 348710446 373618335 523065669 747236670 871776115 1046131338 1743552230 2615328345 5230656690 147629058103 295258116206 442887174309 738145290515 885774348618 1033403406721 1476290581030 2066806813442 2214435871545 3100210220163 4428871743090 5167017033605 6200420440326 10334034067210 15501051100815 31002102201630