Search a number
-
+
1102010022102 = 2311414577611171
BaseRepresentation
bin10000000010010100111…
…010100111100011010110
310220100110222021110200210
4100002110322213203112
5121023404031201402
62202131215150250
7142421556430203
oct20022472474326
93810428243623
101102010022102
113953a5a23390
121596b0b15386
137cbc4351272
143b4a2410caa
151d9ec19306c
hex10094ea78d6

1102010022102 has 128 divisors (see below), whose sum is σ = 2473772990976. Its totient is φ = 324380160000.

The previous prime is 1102010022089. The next prime is 1102010022341. The reversal of 1102010022102 is 2012200102011.

It is a congruent number.

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, 941083977 + ... + 941085147.

It is an arithmetic number, because the mean of its divisors is an integer number (19326351492).

Almost surely, 21102010022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102010022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236886495488).

1102010022102 is an abundant number, since it is smaller than the sum of its proper divisors (1371762968874).

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

1102010022102 is a wasteful number, since it uses less digits than its factorization.

1102010022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446.

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

Adding to 1102010022102 its reverse (2012200102011), we get a palindrome (3114210124113).

The spelling of 1102010022102 in words is "one trillion, one hundred two billion, ten million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 457 761 902 914 1171 1353 1371 1522 2283 2342 2706 2742 3513 4566 5027 7026 8371 10054 12881 15081 16742 18737 25113 25762 30162 31201 37474 38643 48011 50226 56211 62402 77286 93603 96022 112422 144033 187206 206107 288066 343211 347777 412214 528121 535147 618321 686422 695554 891131 1029633 1043331 1056242 1070294 1236642 1584363 1605441 1782262 2059266 2086662 2673393 3168726 3210882 3825547 5346786 5886617 7651094 9802441 11476641 11773234 14258857 17659851 19604882 21941027 22953282 28517714 29407323 35319702 36536371 42776571 43882054 58814646 65823081 73072742 85553142 109609113 131646162 156847427 219218226 241351297 313694854 401900081 407246867 470542281 482702594 724053891 803800162 814493734 941084562 1205700243 1221740601 1448107782 2411400486 2443481202 4479715537 8959431074 13439146611 16697121547 26878293222 33394243094 50091364641 100182729282 183668337017 367336674034 551005011051 1102010022102