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114011010 = 23351759421
BaseRepresentation
bin1101100101110…
…10101110000010
321221112100201000
412302322232002
5213141323020
615151352430
72553035421
oct662725602
9257470630
10114011010
11593a1183
1232222716
131a80ac49
14111db2b8
15a021090
hex6cbab82

114011010 has 128 divisors (see below), whose sum is σ = 328147200. Its totient is φ = 28062720.

The previous prime is 114010957. The next prime is 114011063. The reversal of 114011010 is 10110411.

114011010 = 13612 + 13622 + ... + 14192.

It is an interprime number because it is at equal distance from previous prime (114010957) and next prime (114011063).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 114010983 and 114011001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270600 + ... + 271020.

It is an arithmetic number, because the mean of its divisors is an integer number (2563650).

Almost surely, 2114011010 is an apocalyptic number.

114011010 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 114011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164073600).

114011010 is an abundant number, since it is smaller than the sum of its proper divisors (214136190).

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

114011010 is a wasteful number, since it uses less digits than its factorization.

114011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 114011010 is about 10677.5938300724. The cubic root of 114011010 is about 484.8963678392.

Adding to 114011010 its reverse (10110411), we get a palindrome (124121421).

The spelling of 114011010 in words is "one hundred fourteen million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 59 85 90 102 118 135 153 170 177 255 270 295 306 354 421 459 510 531 590 765 842 885 918 1003 1062 1263 1530 1593 1770 2006 2105 2295 2526 2655 3009 3186 3789 4210 4590 5015 5310 6018 6315 7157 7578 7965 9027 10030 11367 12630 14314 15045 15930 18054 18945 21471 22734 24839 27081 30090 35785 37890 42942 45135 49678 54162 56835 64413 71570 74517 90270 107355 113670 124195 128826 135405 149034 193239 214710 223551 248390 270810 322065 372585 386478 422263 447102 644130 670653 745170 844526 966195 1117755 1266789 1341306 1932390 2111315 2235510 2533578 3353265 3800367 4222630 6333945 6706530 7600734 11401101 12667890 19001835 22802202 38003670 57005505 114011010