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6981335000130 = 23543152316132203
BaseRepresentation
bin110010110010111011111…
…1111100010010001000010
3220201102001020110202000210
41211211313333202101002
51403340233230001010
622503103033454550
71320245663246031
oct145456777422102
926642036422023
106981335000130
112251849671717
12949042b71456
133b844c6c17ca
141a1c81382718
15c1901c88b20
hex65977fe2442

6981335000130 has 128 divisors (see below), whose sum is σ = 17174545800192. Its totient is φ = 1815249316608.

The previous prime is 6981335000099. The next prime is 6981335000191. The reversal of 6981335000130 is 310005331896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3169011609 + ... + 3169013811.

It is an arithmetic number, because the mean of its divisors is an integer number (134176139064).

Almost surely, 26981335000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6981335000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587272900096).

6981335000130 is an abundant number, since it is smaller than the sum of its proper divisors (10193210800062).

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

6981335000130 is a wasteful number, since it uses less digits than its factorization.

6981335000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392.

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 6981335000130 in words is "six trillion, nine hundred eighty-one billion, three hundred thirty-five million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 1523 1613 2203 3046 3226 4406 4569 4839 6609 7615 8065 9138 9678 11015 13218 15230 16130 22030 22845 24195 33045 45690 48390 65489 66090 69359 94729 130978 138718 189458 196467 208077 284187 327445 346795 392934 416154 473645 568374 654890 693590 947290 982335 1040385 1420935 1964670 2080770 2456599 2841870 3355169 3553439 4913198 6710338 7106878 7369797 10065507 10660317 12282995 14739594 16775845 17767195 20131014 21320634 24565990 33551690 35534390 36848985 50327535 53301585 73697970 100655070 105633757 106603170 144272267 152797877 211267514 288544534 305595754 316901271 432816801 458393631 528168785 633802542 721361335 763989385 865633602 916787262 1056337570 1442722670 1527978770 1584506355 2164084005 2291968155 3169012710 4328168010 4583936310 5411887597 10823775194 16235662791 27059437985 32471325582 54118875970 81178313955 162356627910 232711166671 465422333342 698133500013 1163555833355 1396267000026 2327111666710 3490667500065 6981335000130