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1010331211230 = 2385111399913
BaseRepresentation
bin11101011001111000110…
…11101101010111011110
310120120211201102100000000
432230330123231113132
5113023124242224410
62052050104115130
7132664643412255
oct16547433552736
93516751370000
101010331211230
1135a52a6a18a0
12143985a65aa6
1374373791193
1436c8658579c
151b43374adc0
hexeb3c6ed5de

1010331211230 has 144 divisors (see below), whose sum is σ = 2975735593584. Its totient is φ = 244928603520.

The previous prime is 1010331211217. The next prime is 1010331211249. The reversal of 1010331211230 is 321121330101.

1010331211230 is a `hidden beast` number, since 10 + 103 + 312 + 11 + 230 = 666.

It is a super-2 number, since 2×10103312112302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21754 + ... + 1421666.

It is an arithmetic number, because the mean of its divisors is an integer number (20664830511).

Almost surely, 21010331211230 is an apocalyptic number.

1010331211230 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 1010331211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487867796792).

1010331211230 is an abundant number, since it is smaller than the sum of its proper divisors (1965404382354).

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

1010331211230 is an equidigital number, since it uses as much as digits as its factorization.

1010331211230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399955 (or 1399934 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1010331211230 its reverse (321121330101), we get a palindrome (1331452541331).

The spelling of 1010331211230 in words is "one trillion, ten billion, three hundred thirty-one million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2187 2430 2673 2970 3645 4374 4455 5346 6561 7290 8019 8910 10935 13122 13365 16038 21870 24057 26730 32805 40095 48114 65610 72171 80190 120285 144342 240570 360855 721710 1399913 2799826 4199739 6999565 8399478 12599217 13999130 15399043 20998695 25198434 30798086 37797651 41997390 46197129 62996085 75595302 76995215 92394258 113392953 125992170 138591387 153990430 188988255 226785906 230985645 277182774 340178859 377976510 415774161 461971290 566964765 680357718 692956935 831548322 1020536577 1133929530 1247322483 1385913870 1700894295 2041073154 2078870805 2494644966 3061609731 3401788590 3741967449 4157741610 5102682885 6123219462 6236612415 7483934898 9184829193 10205365770 11225902347 12473224830 15308048655 18369658386 18709837245 22451804694 30616097310 33677707041 37419674490 45924145965 56129511735 67355414082 91848291930 101033121123 112259023470 168388535205 202066242246 336777070410 505165605615 1010331211230