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1000010212201 = 7111316710335791
BaseRepresentation
bin11101000110101010100…
…00001110001101101001
310112121012102122020222201
432203111100032031221
5112341010103242301
62043222013220201
7132151120361140
oct16432520161551
93477172566881
101000010212201
11356113770530
12141985491661
13733ba432b70
1436587944757
151b02c5d2201
hexe8d540e369

1000010212201 has 64 divisors (see below), whose sum is σ = 1352252030976. Its totient is φ = 714165465600.

The previous prime is 1000010212199. The next prime is 1000010212219. The reversal of 1000010212201 is 1022120100001.

It is a cyclic number.

It is not a de Polignac number, because 1000010212201 - 21 = 1000010212199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000010212291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172680616 + ... + 172686406.

It is an arithmetic number, because the mean of its divisors is an integer number (21128937984).

Almost surely, 21000010212201 is an apocalyptic number.

1000010212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000010212201 is a deficient number, since it is larger than the sum of its proper divisors (352241818775).

1000010212201 is a wasteful number, since it uses less digits than its factorization.

1000010212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000010212201 its reverse (1022120100001), we get a palindrome (2022130312202).

It can be divided in two parts, 10000 and 10212201, that added together give a palindrome (10222201).

The spelling of 1000010212201 in words is "one trillion, ten million, two hundred twelve thousand, two hundred one".

Divisors: 1 7 11 13 77 91 143 167 1001 1033 1169 1837 2171 5791 7231 11363 12859 13429 15197 23881 40537 63701 75283 79541 94003 147719 167167 172511 445907 526981 828113 967097 1034033 1207577 1897621 2242643 5796791 5982103 6769679 10638067 12572261 13283347 15698501 24669073 41874721 65803133 74466469 77767339 88005827 138294871 172683511 460621931 544371373 855440729 968064097 999011201 5988085103 6993078407 10989123211 12987145613 76923862477 90910019291 142858601743 1000010212201