Search a number
-
+
1121020212102 = 23759823549683
BaseRepresentation
bin10000010100000010000…
…000101111001110000110
310222011112211022011212220
4100110002000233032012
5121331322133241402
62214553425353210
7143663632403520
oct20240200571606
93864484264786
101121020212102
113a247075950a
12161317498806
1381933948bbb
143c38707ca10
151e261091dbc
hex1050202f386

1121020212102 has 64 divisors (see below), whose sum is σ = 2608932188160. Its totient is φ = 314479668384.

The previous prime is 1121020212073. The next prime is 1121020212131. The reversal of 1121020212102 is 2012120201211.

It is an interprime number because it is at equal distance from previous prime (1121020212073) and next prime (1121020212131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764553 + ... + 2314235.

It is an arithmetic number, because the mean of its divisors is an integer number (40764565440).

Almost surely, 21121020212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121020212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304466094080).

1121020212102 is an abundant number, since it is smaller than the sum of its proper divisors (1487911976058).

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

1121020212102 is a wasteful number, since it uses less digits than its factorization.

1121020212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550577.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1121020212102 its reverse (2012120201211), we get a palindrome (3133140413313).

The spelling of 1121020212102 in words is "one trillion, one hundred twenty-one billion, twenty million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 823 826 1239 1646 2469 2478 4938 5761 11522 17283 34566 48557 97114 145671 291342 339899 549683 679798 1019697 1099366 1649049 2039394 3298098 3847781 7695562 11543343 23086686 32431297 64862594 97293891 194587782 227019079 452389109 454038158 681057237 904778218 1357167327 1362114474 2714334654 3166723763 6333447526 9500171289 19000342578 26690957431 53381914862 80072872293 160145744586 186836702017 373673404034 560510106051 1121020212102