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1123320101010 = 2353722340111317
BaseRepresentation
bin10000010110001011000…
…110000111100010010010
310222101111002221122100120
4100112023012013202102
5121401024421213020
62220013544131110
7144104630213142
oct20261306074222
93871432848316
101123320101010
113a3440a04048
12161859766a96
1381c0c282603
143c5246bc922
151e347e40740
hex1058b187892

1123320101010 has 128 divisors (see below), whose sum is σ = 2788430690304. Its totient is φ = 289399910400.

The previous prime is 1123320100951. The next prime is 1123320101023. The reversal of 1123320101010 is 101010233211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 99253872 + ... + 99265188.

It is an arithmetic number, because the mean of its divisors is an integer number (21784614768).

Almost surely, 21123320101010 is an apocalyptic number.

1123320101010 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 1123320101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394215345152).

1123320101010 is an abundant number, since it is smaller than the sum of its proper divisors (1665110589294).

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

1123320101010 is a wasteful number, since it uses less digits than its factorization.

1123320101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1123320101010 its reverse (101010233211), we get a palindrome (1224330334221).

The spelling of 1123320101010 in words is "one trillion, one hundred twenty-three billion, three hundred twenty million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 223 370 401 446 555 669 802 1110 1115 1203 1338 2005 2230 2406 3345 4010 6015 6690 8251 11317 12030 14837 16502 22634 24753 29674 33951 41255 44511 49506 56585 67902 74185 82510 89022 89423 113170 123765 148370 169755 178846 222555 247530 268269 339510 418729 445110 447115 536538 837458 894230 1256187 1341345 2093645 2512374 2523691 2682690 3308651 4187290 4538117 5047382 6280935 6617302 7571073 9076234 9925953 12561870 12618455 13614351 15142146 16543255 19851906 22690585 25236910 27228702 33086510 37855365 45381170 49629765 68071755 75710730 93376567 99259530 136143510 167910329 186753134 280129701 335820658 466882835 503730987 560259402 839551645 933765670 1007461974 1012000091 1400648505 1679103290 2024000182 2518654935 2801297010 3036000273 5037309870 5060000455 6072000546 10120000910 15180001365 30360002730 37444003367 74888006734 112332010101 187220016835 224664020202 374440033670 561660050505 1123320101010