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2311012202240 = 28572207116867
BaseRepresentation
bin100001101000010011000…
…011111011011100000000
322011221010102011201021102
4201220103003323130000
5300330423110432430
64525355255513532
7325652015414330
oct41502303733400
98157112151242
102311012202240
1181110515a675
12313a813888a8
13139c099a0681
147dbd435b0c0
15401ac33b345
hex21a130fb700

2311012202240 has 144 divisors (see below), whose sum is σ = 6329316575232. Its totient is φ = 791981248512.

The previous prime is 2311012202171. The next prime is 2311012202309. The reversal of 2311012202240 is 422022101132.

It is an interprime number because it is at equal distance from previous prime (2311012202171) and next prime (2311012202309).

It is a super-2 number, since 2×23110122022402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19716287 + ... + 19833153.

It is an arithmetic number, because the mean of its divisors is an integer number (43953587328).

Almost surely, 22311012202240 is an apocalyptic number.

2311012202240 is a gapful number since it is divisible by the number (20) 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 2311012202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164658287616).

2311012202240 is an abundant number, since it is smaller than the sum of its proper divisors (4018304372992).

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

2311012202240 is a wasteful number, since it uses less digits than its factorization.

2311012202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119102 (or 119088 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2311012202240 its reverse (422022101132), we get a palindrome (2733034303372).

The spelling of 2311012202240 in words is "two trillion, three hundred eleven billion, twelve million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2207 2240 4414 4480 8828 8960 11035 15449 17656 22070 30898 35312 44140 61796 70624 77245 88280 116867 123592 141248 154490 176560 233734 247184 282496 308980 353120 467468 494368 564992 584335 617960 706240 818069 934936 988736 1168670 1235920 1412480 1636138 1869872 1977472 2337340 2471840 2824960 3272276 3739744 3954944 4090345 4674680 4943680 6544552 7479488 8180690 9349360 9887360 13089104 14958976 16361380 18698720 19774720 26178208 29917952 32722760 37397440 52356416 65445520 74794880 104712832 130891040 149589760 209425664 257925469 261782080 515850938 523564160 1031701876 1047128320 1289627345 1805478283 2063403752 2579254690 3610956566 4126807504 5158509380 7221913132 8253615008 9027391415 10317018760 14443826264 16507230016 18054782830 20634037520 28887652528 33014460032 36109565660 41268075040 57775305056 66028920064 72219131320 82536150080 115550610112 144438262640 165072300160 231101220224 288876525280 330144600320 462202440448 577753050560 1155506101120 2311012202240