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1100020210002 = 232737739319289
BaseRepresentation
bin10000000000011110010…
…100000101100101010010
310220011100022002112122100
4100000132110011211102
5121010320133210002
62201201534421230
7142321345336560
oct20003624054522
93804308075570
101100020210002
1139457480507a
12159236661816
137c96803315c
143b354048a30
151d93264411c
hex1001e505952

1100020210002 has 96 divisors (see below), whose sum is σ = 2801271657600. Its totient is φ = 305382369024.

The previous prime is 1100020209997. The next prime is 1100020210067. The reversal of 1100020210002 is 2000120200011.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 3285574 + ... + 3604862.

It is an arithmetic number, because the mean of its divisors is an integer number (29179913100).

Almost surely, 21100020210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100020210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400635828800).

1100020210002 is an abundant number, since it is smaller than the sum of its proper divisors (1701251447598).

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

1100020210002 is a wasteful number, since it uses less digits than its factorization.

1100020210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320080 (or 320077 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100020210002 its reverse (2000120200011), we get a palindrome (3100140410013).

Subtracting 1100020210002 from its reverse (2000120200011), we obtain a palindrome (900099990009).

The spelling of 1100020210002 in words is "one trillion, one hundred billion, twenty million, two hundred ten thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 739 777 1478 1554 2217 2331 4434 4662 5173 6651 10346 13302 15519 27343 31038 46557 54686 82029 93114 164058 191401 246087 319289 382802 492174 574203 638578 957867 1148406 1722609 1915734 2235023 2873601 3445218 4470046 5747202 6705069 11813693 13410138 20115207 23627386 35441079 40230414 70882158 82695851 106323237 165391702 212646474 235954571 248087553 471909142 496175106 707863713 744262659 1415727426 1488525318 1651681997 2123591139 3303363994 4247182278 4955045991 8730319127 9910091982 14865137973 17460638254 26190957381 29730275946 52381914762 61112233889 78572872143 122224467778 157145744286 183336701667 366673403334 550010105001 1100020210002