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1120402211140 = 2251723133311871
BaseRepresentation
bin10000010011011101001…
…011010000000101000100
310222002221202102110221101
4100103131023100011010
5121324040431224030
62214412231425444
7143642416442452
oct20233513200504
93862852373841
101120402211140
113a2183926213
12161184525284
13818658b9a64
143c328d6b9d2
151e226bba7ca
hex104dd2d0144

1120402211140 has 144 divisors (see below), whose sum is σ = 2516293188864. Its totient is φ = 418956595200.

The previous prime is 1120402211119. The next prime is 1120402211147. The reversal of 1120402211140 is 411122040211.

It is a happy number.

It is a super-2 number, since 2×11204022111402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1120402211147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598824405 + ... + 598826275.

It is an arithmetic number, because the mean of its divisors is an integer number (17474258256).

Almost surely, 21120402211140 is an apocalyptic number.

1120402211140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120402211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258146594432).

1120402211140 is an abundant number, since it is smaller than the sum of its proper divisors (1395890977724).

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

1120402211140 is a wasteful number, since it uses less digits than its factorization.

1120402211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1120402211140 its reverse (411122040211), we get a palindrome (1531524251351).

The spelling of 1120402211140 in words is "one trillion, one hundred twenty billion, four hundred two million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 313 331 340 578 626 662 1156 1252 1324 1445 1565 1655 1871 2890 3130 3310 3742 5321 5627 5780 6260 6620 7484 9355 10642 11254 18710 21284 22508 26605 28135 31807 37420 53210 56270 63614 90457 95659 103603 106420 112540 127228 159035 180914 191318 207206 318070 361828 382636 414412 452285 478295 518015 540719 585623 619301 636140 904570 956590 1036030 1081438 1171246 1238602 1761251 1809140 1913180 2072060 2162876 2342492 2477204 2703595 2928115 3096505 3522502 5407190 5856230 6193010 7045004 8806255 9955591 10528117 10814380 11712460 12386020 17612510 19911182 21056234 29941267 35225020 39822364 42112468 49777955 52640585 59882534 99555910 105281170 119765068 149706335 169245047 178977989 193841213 199111820 210562340 299412670 338490094 357955978 387682426 598825340 676980188 715911956 775364852 846225235 894889945 969206065 1692450470 1789779890 1938412130 3295300621 3384900940 3579559780 3876824260 6590601242 13181202484 16476503105 32953006210 56020110557 65906012420 112040221114 224080442228 280100552785 560201105570 1120402211140