Search a number
-
+
1102022201001 = 31725310122351
BaseRepresentation
bin10000000010010101101…
…001000100111010101001
310220100111211012020000010
4100002111221010322221
5121023420140413001
62202132332202133
7142422065103201
oct20022551047251
93810454166003
101102022201001
11395401891597
121596b5009349
137cbc6a26807
143b4a3ca1401
151d9ed29b8d6
hex10095a44ea9

1102022201001 has 72 divisors (see below), whose sum is σ = 1606915884672. Its totient is φ = 671415680000.

The previous prime is 1102022200991. The next prime is 1102022201009. The reversal of 1102022201001 is 1001022202011.

It is a de Polignac number, because none of the positive numbers 2k-1102022201001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102022201009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468744976 + ... + 468747326.

It is an arithmetic number, because the mean of its divisors is an integer number (22318276176).

Almost surely, 21102022201001 is an apocalyptic number.

It is an amenable number.

1102022201001 is a deficient number, since it is larger than the sum of its proper divisors (504893683671).

1102022201001 is a wasteful number, since it uses less digits than its factorization.

1102022201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1102022201001 its reverse (1001022202011), we get a palindrome (2103044403012).

The spelling of 1102022201001 in words is "one trillion, one hundred two billion, twenty-two million, two hundred one thousand, one".

Divisors: 1 3 17 51 53 101 159 289 303 867 901 1717 2351 2703 5151 5353 7053 10201 15317 16059 29189 30603 39967 45951 87567 91001 119901 124603 173417 237451 273003 373809 520251 540653 679439 712353 1547017 1621959 2038317 2118251 2948089 4036667 4641051 6354753 8844267 9191101 12110001 12584903 23982551 27573303 36010267 37754709 68623339 71947653 108030801 156248717 205870017 213943351 407703367 468746151 641830053 1223110101 1271075203 3637036967 3813225609 6930957239 10911110901 20792871717 21608278451 64824835353 367340733667 1102022201001