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101000000970 = 232511234435661
BaseRepresentation
bin101111000010000010…
…0011011010111001010
3100122200212022122200200
41132010010123113022
53123322000012340
6114222044313030
710203605562141
oct1360404332712
9318625278620
10101000000970
113991995a690
12176a8842776
1396a7a4a1ab
144c61bac758
152961e1b330
hex178411b5ca

101000000970 has 96 divisors (see below), whose sum is σ = 298928133504. Its totient is φ = 23420284800.

The previous prime is 101000000951. The next prime is 101000000971. The reversal of 101000000970 is 79000000101.

101000000970 divided by its sum of digits (18) gives a palindrome (5611111165).

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

It is not an unprimeable number, because it can be changed into a prime (101000000971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2195061 + ... + 2240600.

It is an arithmetic number, because the mean of its divisors is an integer number (3113834724).

Almost surely, 2101000000970 is an apocalyptic number.

101000000970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000000970 is an abundant number, since it is smaller than the sum of its proper divisors (197928132534).

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

101000000970 is a wasteful number, since it uses less digits than its factorization.

101000000970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435708 (or 4435705 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The spelling of 101000000970 in words is "one hundred one billion, nine hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770 4435661 8871322 13306983 22178305 26613966 39920949 44356610 48792271 66534915 79841898 97584542 102020203 133069830 146376813 199604745 204040406 243961355 292753626 306060609 399209490 439130439 487922710 510101015 612121218 731884065 878260878 918181827 1020202030 1122222233 1463768130 1530303045 1836363654 2195652195 2244444466 3060606090 3366666699 4391304390 4590909135 5611111165 6733333398 9181818270 10100000097 11222222330 16833333495 20200000194 33666666990 50500000485 101000000970