Search a number
-
+
1021351305114 = 23273315336381
BaseRepresentation
bin11101101110011010100…
…10000001111110011010
310121122021201200002212100
432313031102001332122
5113213211413230424
62101111411024230
7133535015565000
oct16671522017632
93548251602770
101021351305114
113641752044a8
12145b4059b076
137540b9028aa
143760dda6a70
151b87ae58dc9
hexedcd481f9a

1021351305114 has 96 divisors (see below), whose sum is σ = 2663921894400. Its totient is φ = 282401229600.

The previous prime is 1021351305053. The next prime is 1021351305133. The reversal of 1021351305114 is 4115031531201.

1021351305114 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 351 + 305 + 1 + 1 + 4 = 666.

It is a super-2 number, since 2×10213513051142 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2476797 + ... + 2859584.

It is an arithmetic number, because the mean of its divisors is an integer number (27749186400).

Almost surely, 21021351305114 is an apocalyptic number.

1021351305114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1021351305114 is an abundant number, since it is smaller than the sum of its proper divisors (1642570589286).

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

1021351305114 is a wasteful number, since it uses less digits than its factorization.

1021351305114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336441 (or 5336424 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1021351305114 its reverse (4115031531201), we get a palindrome (5136382836315).

The spelling of 1021351305114 in words is "one trillion, twenty-one billion, three hundred fifty-one million, three hundred five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 343 434 441 558 651 686 882 1029 1302 1519 1953 2058 3038 3087 3906 4557 6174 9114 10633 13671 21266 27342 31899 63798 95697 191394 5336381 10672762 16009143 32018286 37354667 48027429 74709334 96054858 112064001 165427811 224128002 261482669 330855622 336192003 496283433 522965338 672384006 784448007 992566866 1157994677 1488850299 1568896014 1830378683 2315989354 2353344021 2977700598 3473984031 3660757366 4706688042 5491136049 6947968062 8105962739 10421952093 10982272098 16211925478 16473408147 20843904186 24317888217 32946816294 48635776434 56741739173 72953664651 113483478346 145907329302 170225217519 340450435038 510675652557 1021351305114