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1012223031210 = 23251011031081123
BaseRepresentation
bin11101011101011010011…
…00011011011110101010
310120202201120012202010200
432232231030123132222
5113041013043444320
62053001524253030
7133062554542356
oct16565514333652
93522646182120
101012223031210
11360310570186
12144213541176
13745b56bc6a1
1436dc5920466
151b4e4890290
hexebad31b7aa

1012223031210 has 96 divisors (see below), whose sum is σ = 2683643833728. Its totient is φ = 264658665600.

The previous prime is 1012223031091. The next prime is 1012223031263. The reversal of 1012223031210 is 121303222101.

1012223031210 is a `hidden beast` number, since 1 + 0 + 122 + 230 + 312 + 1 + 0 = 666.

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

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, 395709 + ... + 1476831.

It is an arithmetic number, because the mean of its divisors is an integer number (27954623268).

Almost surely, 21012223031210 is an apocalyptic number.

1012223031210 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 1012223031210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341821916864).

1012223031210 is an abundant number, since it is smaller than the sum of its proper divisors (1671420802518).

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

1012223031210 is a wasteful number, since it uses less digits than its factorization.

1012223031210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081340 (or 1081337 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012223031210 its reverse (121303222101), we get a palindrome (1133526253311).

The spelling of 1012223031210 in words is "one trillion, twelve billion, two hundred twenty-three million, thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 103 202 206 303 309 505 515 606 618 909 927 1010 1030 1515 1545 1818 1854 3030 3090 4545 4635 9090 9270 10403 20806 31209 52015 62418 93627 104030 156045 187254 312090 468135 936270 1081123 2162246 3243369 5405615 6486738 9730107 10811230 16216845 19460214 32433690 48650535 97301070 109193423 111355669 218386846 222711338 327580269 334067007 545967115 556778345 655160538 668134014 982740807 1002201021 1091934230 1113556690 1637901345 1670335035 1965481614 2004402042 3275802690 3340670070 4913704035 5011005105 9827408070 10022010210 11246922569 22493845138 33740767707 56234612845 67481535414 101222303121 112469225690 168703838535 202444606242 337407677070 506111515605 1012223031210