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1300133102130 = 232537971402091
BaseRepresentation
bin10010111010110101111…
…110001100001000110010
311121021212111210202000200
4102322311332030020302
5132300133033232010
62433134540300030
7162634340012262
oct22726576141062
94537774722020
101300133102130
11461424272855
1218bb83b41616
13957a985abb5
1446cd91157a2
1523c45967cc0
hex12eb5f8c232

1300133102130 has 96 divisors (see below), whose sum is σ = 3475290806208. Its totient is φ = 336983587200.

The previous prime is 1300133102119. The next prime is 1300133102267. The reversal of 1300133102130 is 312013310031.

It is a happy number.

1300133102130 is a `hidden beast` number, since 1 + 300 + 1 + 3 + 310 + 21 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3032385 + ... + 3434475.

It is an arithmetic number, because the mean of its divisors is an integer number (36200945898).

Almost surely, 21300133102130 is an apocalyptic number.

1300133102130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300133102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737645403104).

1300133102130 is an abundant number, since it is smaller than the sum of its proper divisors (2175157704078).

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

1300133102130 is a wasteful number, since it uses less digits than its factorization.

1300133102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403112 (or 403109 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1300133102130 its reverse (312013310031), we get a palindrome (1612146412161).

The spelling of 1300133102130 in words is "one trillion, three hundred billion, one hundred thirty-three million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 971 1110 1665 1942 2913 3330 4855 5826 8739 9710 14565 17478 29130 35927 43695 71854 87390 107781 179635 215562 323343 359270 402091 538905 646686 804182 1077810 1206273 1616715 2010455 2412546 3233430 3618819 4020910 6031365 7237638 12062730 14877367 18094095 29754734 36188190 44632101 74386835 89264202 133896303 148773670 223160505 267792606 390430361 446321010 669481515 780860722 1171291083 1338963030 1952151805 2342582166 3513873249 3904303610 5856455415 7027746498 11712910830 14445923357 17569366245 28891846714 35138732490 43337770071 72229616785 86675540142 130013310213 144459233570 216688850355 260026620426 433377700710 650066551065 1300133102130