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103021211310 = 2357396748647
BaseRepresentation
bin101111111110010001…
…0101110111010101110
3100211220201120210000220
41133330202232322232
53141441412230220
6115154410032210
710304650563513
oct1377442567256
9324821523026
10103021211310
113a766873956
1217b71718666
13993a70c844
144db43c930a
152a2e5bd540
hex17fc8aeeae

103021211310 has 64 divisors (see below), whose sum is σ = 250902254592. Its totient is φ = 27067412736.

The previous prime is 103021211299. The next prime is 103021211329. The reversal of 103021211310 is 13112120301.

It is a happy number.

It is a super-2 number, since 2×1030212113102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103021211310.

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, 2093407 + ... + 2142053.

It is an arithmetic number, because the mean of its divisors is an integer number (3920347728).

Almost surely, 2103021211310 is an apocalyptic number.

103021211310 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 103021211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125451127296).

103021211310 is an abundant number, since it is smaller than the sum of its proper divisors (147881043282).

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

103021211310 is a wasteful number, since it uses less digits than its factorization.

103021211310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49697.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103021211310 its reverse (13112120301), we get a palindrome (116133331611).

The spelling of 103021211310 in words is "one hundred three billion, twenty-one million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 967 1095 1934 2190 2901 4835 5802 9670 14505 29010 48647 70591 97294 141182 145941 211773 243235 291882 352955 423546 486470 705910 729705 1058865 1459410 2117730 3551231 7102462 10653693 17756155 21307386 35512310 47041649 53268465 94083298 106536930 141124947 235208245 282249894 470416490 705624735 1411249470 3434040377 6868080754 10302121131 17170201885 20604242262 34340403770 51510605655 103021211310