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230010132120 = 233543263169489
BaseRepresentation
bin1101011000110110101…
…1000001011010011000
3210222200210122100112020
43112031223001122120
512232030043211440
6253355403214440
722421602602366
oct3261553013230
9728623570466
10230010132120
11896017a568a
12386b1b17420
13188c7820cc2
14b1bda06636
155eb2e003d0
hex358dac1698

230010132120 has 128 divisors (see below), whose sum is σ = 708766502400. Its totient is φ = 59681470464.

The previous prime is 230010132103. The next prime is 230010132139. The reversal of 230010132120 is 21231010032.

It is a super-3 number, since 3×2300101321203 (a number of 35 digits) contains 333 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 230010132120.

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, 1272336 + ... + 1441824.

It is an arithmetic number, because the mean of its divisors is an integer number (5537238300).

Almost surely, 2230010132120 is an apocalyptic number.

230010132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230010132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354383251200).

230010132120 is an abundant number, since it is smaller than the sum of its proper divisors (478756370280).

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

230010132120 is a wasteful number, since it uses less digits than its factorization.

230010132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169809 (or 169805 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230010132120 its reverse (21231010032), we get a palindrome (251241142152).

The spelling of 230010132120 in words is "two hundred thirty billion, ten million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 263 344 430 516 526 645 789 860 1032 1052 1290 1315 1578 1720 2104 2580 2630 3156 3945 5160 5260 6312 7890 10520 11309 15780 22618 31560 33927 45236 56545 67854 90472 113090 135708 169489 169635 226180 271416 338978 339270 452360 508467 677956 678540 847445 1016934 1355912 1357080 1694890 2033868 2542335 3389780 4067736 5084670 6779560 7288027 10169340 14576054 20338680 21864081 29152108 36440135 43728162 44575607 58304216 72880270 87456324 89151214 109320405 133726821 145760540 174912648 178302428 218640810 222878035 267453642 291521080 356604856 437281620 445756070 534907284 668634105 874563240 891512140 1069814568 1337268210 1783024280 1916751101 2674536420 3833502202 5349072840 5750253303 7667004404 9583755505 11500506606 15334008808 19167511010 23001013212 28751266515 38335022020 46002026424 57502533030 76670044040 115005066060 230010132120