Search a number
-
+
1114212134100 = 22352131915036601
BaseRepresentation
bin10000001101101100001…
…101111110110011010100
310221111222100200222120210
4100031230031332303110
5121223401301242400
62211510104525420
7143333133605562
oct20155415766324
93844870628523
101114212134100
1139a59777a76a
1215bb37480870
13810ba32c490
143bcdcc00a32
151deb3538950
hex1036c37ecd4

1114212134100 has 144 divisors (see below), whose sum is σ = 3654495750080. Its totient is φ = 259832448000.

The previous prime is 1114212134099. The next prime is 1114212134107. The reversal of 1114212134100 is 14312124111.

It is a super-3 number, since 3×11142121341003 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114212134107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7444201 + ... + 7592400.

Almost surely, 21114212134100 is an apocalyptic number.

1114212134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114212134100 is an abundant number, since it is smaller than the sum of its proper divisors (2540283615980).

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

1114212134100 is a wasteful number, since it uses less digits than its factorization.

1114212134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15036650 (or 15036643 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1114212134100 its reverse (14312124111), we get a palindrome (1128524258211).

The spelling of 1114212134100 in words is "one trillion, one hundred fourteen billion, two hundred twelve million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 15036601 30073202 45109803 60146404 75183005 90219606 150366010 180439212 195475813 225549015 285695419 300732020 375915025 390951626 451098030 571390838 586427439 751830050 781903252 857086257 902196060 977379065 1127745075 1142781676 1172854878 1428477095 1503660100 1714172514 1954758130 2255490150 2345709756 2856954190 2932137195 3428345028 3714040447 3909516260 4285431285 4510980300 4886895325 5713908380 5864274390 7142385475 7428080894 8570862570 9773790650 11142121341 11728548780 14284770950 14660685975 14856161788 17141725140 18570202235 19547581300 21427156425 22284242682 28569541900 29321371950 37140404470 42854312850 44568485364 55710606705 58642743900 74280808940 85708625700 92851011175 111421213410 185702022350 222842426820 278553033525 371404044700 557106067050 1114212134100