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1001211210010 = 251124127174471
BaseRepresentation
bin11101001000111001101…
…01101010100100011010
310112201022010112021021001
432210130311222210122
5112400440032210020
62043541114535214
7132222642603364
oct16443465524432
93481263467231
101001211210010
1135667a698a00
1214205b73750a
137354c1b655b
143665d253d34
151b09cc6850a
hexe91cd6a91a

1001211210010 has 96 divisors (see below), whose sum is σ = 2036738898432. Its totient is φ = 353881440000.

The previous prime is 1001211209983. The next prime is 1001211210053. The reversal of 1001211210010 is 100121121001.

1001211210010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 13407075 + ... + 13481545.

It is an arithmetic number, because the mean of its divisors is an integer number (21216030192).

Almost surely, 21001211210010 is an apocalyptic number.

1001211210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001211210010 is an abundant number, since it is smaller than the sum of its proper divisors (1035527688422).

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

1001211210010 is a wasteful number, since it uses less digits than its factorization.

1001211210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74812 (or 74801 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

1001211210010 divided by its sum of digits (10) gives a palindrome (100121121001).

Adding to 1001211210010 its reverse (100121121001), we get a palindrome (1101332331011).

It can be divided in two parts, 100121 and 1210010, that added together give a palindrome (1310131).

The spelling of 1001211210010 in words is "one trillion, one billion, two hundred eleven million, two hundred ten thousand, ten".

Divisors: 1 2 5 10 11 22 41 55 82 110 121 205 242 271 410 451 542 605 902 1210 1355 2255 2710 2981 4510 4961 5962 9922 11111 14905 22222 24805 29810 32791 49610 55555 65582 74471 111110 122221 148942 163955 244442 327910 372355 611105 744710 819181 1222210 1344431 1638362 2688862 3053311 4095905 6106622 6722155 8191810 9010991 13444310 15266555 18021982 20181641 30533110 33586421 40363282 45054955 67172842 90109910 100908205 167932105 201816410 221998051 335864210 369450631 443996102 738901262 827447281 1109990255 1654894562 1847253155 2219980510 2441978561 3694506310 4137236405 4883957122 8274472810 9101920091 12209892805 18203840182 24419785610 45509600455 91019200910 100121121001 200242242002 500605605005 1001211210010