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2134102124 = 22711311012213
BaseRepresentation
bin111111100110011…
…1101000001101100
312111201200121202102
41333030331001230
513332312231444
6551433114232
7103612366040
oct17714750154
95451617672
102134102124
119a5710570
124b6858978
1328019b02b
14163606020
15c755184e
hex7f33d06c

2134102124 has 96 divisors (see below), whose sum is σ = 4856205312. Its totient is φ = 796320000.

The previous prime is 2134102109. The next prime is 2134102147. The reversal of 2134102124 is 4212014312.

It is a super-2 number, since 2×21341021242 = 9108783751322622752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2134102096 and 2134102105.

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, 963242 + ... + 965454.

It is an arithmetic number, because the mean of its divisors is an integer number (50585472).

Almost surely, 22134102124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134102124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428102656).

2134102124 is an abundant number, since it is smaller than the sum of its proper divisors (2722103188).

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

2134102124 is a wasteful number, since it uses less digits than its factorization.

2134102124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2134102124 is about 46196.3431886118. The cubic root of 2134102124 is about 1287.4737982414.

Adding to 2134102124 its reverse (4212014312), we get a palindrome (6346116436).

The spelling of 2134102124 in words is "two billion, one hundred thirty-four million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 101 124 154 202 217 308 341 404 434 682 707 868 1111 1364 1414 2213 2222 2387 2828 3131 4426 4444 4774 6262 7777 8852 9548 12524 15491 15554 21917 24343 30982 31108 34441 43834 48686 61964 68603 68882 87668 97372 137206 137764 170401 223513 241087 274412 340802 447026 480221 482174 681604 754633 894052 960442 964348 1509266 1564591 1920884 2458643 3018532 3129182 4917286 5282431 6258364 6928903 9834572 10564862 13857806 17210501 21129724 27715612 34421002 48502321 68842004 76217933 97004642 152435866 194009284 304871732 533525531 1067051062 2134102124