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1121102101002 = 23132910135913669
BaseRepresentation
bin10000010100000110111…
…001000111101000001010
310222011202112101120100010
4100110012321013220022
5121332004114213002
62215005512452350
7143665645424622
oct20240671075012
93864675346303
101121102101002
113a25029aa894
1216133a9aa0b6
13819478bac80
143c393cb7882
151e26836a46c
hex10506e47a0a

1121102101002 has 128 divisors (see below), whose sum is σ = 2529890496000. Its totient is φ = 328819276800.

The previous prime is 1121102100997. The next prime is 1121102101033. The reversal of 1121102101002 is 2001012011211.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82011024 + ... + 82024692.

It is an arithmetic number, because the mean of its divisors is an integer number (19764769500).

Almost surely, 21121102101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121102101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264945248000).

1121102101002 is an abundant number, since it is smaller than the sum of its proper divisors (1408788394998).

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

1121102101002 is a wasteful number, since it uses less digits than its factorization.

1121102101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14176.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121102101002 its reverse (2001012011211), we get a palindrome (3122114112213).

The spelling of 1121102101002 in words is "one trillion, one hundred twenty-one billion, one hundred two million, one hundred one thousand, two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 101 174 202 303 359 377 606 718 754 1077 1131 1313 2154 2262 2626 2929 3939 4667 5858 7878 8787 9334 10411 13669 14001 17574 20822 27338 28002 31233 36259 38077 41007 62466 72518 76154 82014 108777 114231 135343 177697 217554 228462 270686 355394 396401 406029 471367 533091 792802 812058 942734 1051511 1066182 1189203 1380569 1414101 2103022 2378406 2761138 2828202 3154533 4141707 4907171 5153213 6309066 8283414 9814342 10306426 13669643 14721513 15459639 17947397 27339286 29443026 30919278 35894794 40036501 41008929 53842191 63793223 80073002 82017858 107684382 120109503 127586446 142307959 191379669 240219006 284615918 382759338 426923877 495624271 520474513 853847754 991248542 1040949026 1486872813 1561423539 1850003467 2973745626 3122847078 3700006934 5550010401 6443115523 11100020802 12886231046 14373103859 19329346569 28746207718 38658693138 43119311577 86238623154 186850350167 373700700334 560551050501 1121102101002