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1099211020002 = 232378918739901
BaseRepresentation
bin11111111111011100001…
…01010001011011100010
310220002020220110102122100
433333232011101123202
5121002141010120002
62200545350551230
7142262321336214
oct17775605213342
93802226412570
101099211020002
11394199a67707
1215904b668516
137c8694b32c4
143b2b87aa5b4
151d8d65a411c
hexffee1516e2

1099211020002 has 96 divisors (see below), whose sum is σ = 2475045696240. Its totient is φ = 352271462400.

The previous prime is 1099211019979. The next prime is 1099211020003. The reversal of 1099211020002 is 2000201129901.

It can be written as a sum of positive squares in 8 ways, for example, as 596556961641 + 502654058361 = 772371^2 + 708981^2 .

It is not an unprimeable number, because it can be changed into a prime (1099211020003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111015252 + ... + 111025152.

Almost surely, 21099211020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099211020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237522848120).

1099211020002 is an abundant number, since it is smaller than the sum of its proper divisors (1375834676238).

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

1099211020002 is a wasteful number, since it uses less digits than its factorization.

1099211020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11908 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 1099211020002 its reverse (2000201129901), we get a palindrome (3099412149903).

The spelling of 1099211020002 in words is "one trillion, ninety-nine billion, two hundred eleven million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 37 74 89 111 178 222 267 333 534 666 801 1602 1873 3293 3746 5619 6586 9879 9901 11238 16857 19758 19802 29637 29703 33714 59274 59406 69301 89109 138602 166697 178218 207903 333394 366337 415806 500091 623709 732674 881189 1000182 1099011 1247418 1500273 1762378 2198022 2643567 3000546 3297033 5287134 6167789 6594066 7930701 12335578 15861402 18503367 18544573 32603993 37006734 37089146 55510101 55633719 65207986 97811979 111020202 111267438 166901157 195623958 293435937 333802314 586871874 686149201 1372298402 1650466997 2058447603 3300933994 4116895206 4951400991 6175342809 9902801982 12350685618 14854202973 29708405946 61067278889 122134557778 183201836667 366403673334 549605510001 1099211020002