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1012232403210 = 2357131101936109
BaseRepresentation
bin11101011101011011100…
…00001011100100001010
310120202202012211220002210
432232231300023210022
5113041022443400320
62053002501205550
7133063030315110
oct16565560134412
93522665756083
101012232403210
11360315891536
121442167008b6
13745b7621452
1436dc6c7dab0
151b4e55e20e0
hexebadc0b90a

1012232403210 has 128 divisors (see below), whose sum is σ = 2800425830400. Its totient is φ = 229369570560.

The previous prime is 1012232403167. The next prime is 1012232403223. The reversal of 1012232403210 is 123042322101.

1012232403210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122324032102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 28014636 + ... + 28050744.

It is an arithmetic number, because the mean of its divisors is an integer number (21878326800).

Almost surely, 21012232403210 is an apocalyptic number.

1012232403210 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 1012232403210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400212915200).

1012232403210 is an abundant number, since it is smaller than the sum of its proper divisors (1788193427190).

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

1012232403210 is a wasteful number, since it uses less digits than its factorization.

1012232403210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37276.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1012232403210 its reverse (123042322101), we get a palindrome (1135274725311).

The spelling of 1012232403210 in words is "one trillion, twelve billion, two hundred thirty-two million, four hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 262 393 655 786 917 1019 1310 1834 1965 2038 2751 3057 3930 4585 5095 5502 6114 7133 9170 10190 13755 14266 15285 21399 27510 30570 35665 36109 42798 71330 72218 106995 108327 133489 180545 213990 216654 252763 266978 361090 400467 505526 541635 667445 758289 800934 934423 1083270 1263815 1334890 1516578 1868846 2002335 2527630 2803269 3791445 4004670 4672115 4730279 5606538 7582890 9344230 9460558 14016345 14190837 23651395 28032690 28381674 33111953 36795071 47302790 66223906 70954185 73590142 99335859 110385213 141908370 165559765 183975355 198671718 220770426 257565497 331119530 367950710 496679295 515130994 551926065 772696491 993358590 1103852130 1287827485 1545392982 2575654970 3863482455 4820154301 7726964910 9640308602 14460462903 24100771505 28920925806 33741080107 48201543010 67482160214 72302314515 101223240321 144604629030 168705400535 202446480642 337410801070 506116201605 1012232403210