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1123870106010 = 2353722743310301
BaseRepresentation
bin10000010110101011111…
…000001110000110011010
310222102220102212210101010
4100112223320032012122
5121403141221343020
62220144312434350
7144124356165231
oct20265370160632
93872812783333
101123870106010
113a36a3414a33
121619919a89b6
1381c991c5162
143c57776db18
151e37b384de0
hex105abe0e19a

1123870106010 has 128 divisors (see below), whose sum is σ = 2789087986944. Its totient is φ = 289615564800.

The previous prime is 1123870105993. The next prime is 1123870106027. The reversal of 1123870106010 is 106010783211.

It is an interprime number because it is at equal distance from previous prime (1123870105993) and next prime (1123870106027).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109097860 + ... + 109108160.

It is an arithmetic number, because the mean of its divisors is an integer number (21789749898).

Almost surely, 21123870106010 is an apocalyptic number.

1123870106010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123870106010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394543993472).

1123870106010 is an abundant number, since it is smaller than the sum of its proper divisors (1665217880934).

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

1123870106010 is a wasteful number, since it uses less digits than its factorization.

1123870106010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008.

The product of its (nonzero) digits is 2016, while the sum is 30.

Adding to 1123870106010 its reverse (106010783211), we get a palindrome (1229880889221).

The spelling of 1123870106010 in words is "one trillion, one hundred twenty-three billion, eight hundred seventy million, one hundred six thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 227 370 433 454 555 681 866 1110 1135 1299 1362 2165 2270 2598 3405 4330 6495 6810 8399 10301 12990 16021 16798 20602 25197 30903 32042 41995 48063 50394 51505 61806 80105 83990 96126 98291 103010 125985 154515 160210 196582 240315 251970 294873 309030 381137 480630 491455 589746 762274 982910 1143411 1474365 1905685 2286822 2338327 2948730 3636767 3811370 4460333 4676654 5717055 7014981 7273534 8920666 10910301 11434110 11691635 13380999 14029962 18183835 21820602 22301665 23383270 26761998 35074905 36367670 44603330 54551505 66904995 70149810 86518099 109103010 133809990 165032321 173036198 259554297 330064642 432590495 495096963 519108594 825161605 865180990 990193926 1012495591 1297771485 1650323210 2024991182 2475484815 2595542970 3037486773 4950969630 5062477955 6074973546 10124955910 15187433865 30374867730 37462336867 74924673734 112387010601 187311684335 224774021202 374623368670 561935053005 1123870106010