Search a number
-
+
112121031112320 = 273578774201233
BaseRepresentation
bin11001011111100100110110…
…001110110011011010000000
3112200222122222102210011202210
4121133210312032303122000
5104143442332431043240
61034243405101342120
732421322446511446
oct3137446616633200
9480878872704683
10112121031112320
11327a829808a03a
12106a9982567940
134a73c77531409
141d98988a62b96
15ce67d2e70780
hex65f9363b3680

112121031112320 has 128 divisors (see below), whose sum is σ = 357839903039040. Its totient is φ = 29860950196224.

The previous prime is 112121031112289. The next prime is 112121031112399. The reversal of 112121031112320 is 23211130121211.

112121031112320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1121210311123202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35589577 + ... + 38611656.

Almost surely, 2112121031112320 is an apocalyptic number.

112121031112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121031112320 is an abundant number, since it is smaller than the sum of its proper divisors (245718871926720).

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

112121031112320 is an equidigital number, since it uses as much as digits as its factorization.

112121031112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74202042 (or 74202030 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 112121031112320 its reverse (23211130121211), we get a palindrome (135332161233531).

The spelling of 112121031112320 in words is "one hundred twelve trillion, one hundred twenty-one billion, thirty-one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 787 960 1574 1920 2361 3148 3935 4722 6296 7870 9444 11805 12592 15740 18888 23610 25184 31480 37776 47220 50368 62960 75552 94440 100736 125920 151104 188880 251840 302208 377760 503680 755520 1511040 74201233 148402466 222603699 296804932 371006165 445207398 593609864 742012330 890414796 1113018495 1187219728 1484024660 1780829592 2226036990 2374439456 2968049320 3561659184 4452073980 4748878912 5936098640 7123318368 8904147960 9497757824 11872197280 14246636736 17808295920 23744394560 28493273472 35616591840 47488789120 58396370371 71233183680 116792740742 142466367360 175189111113 233585481484 291981851855 350378222226 467170962968 583963703710 700756444452 875945555565 934341925936 1167927407420 1401512888904 1751891111130 1868683851872 2335854814840 2803025777808 3503782222260 3737367703744 4671709629680 5606051555616 7007564444520 7474735407488 9343419259360 11212103111232 14015128889040 18686838518720 22424206222464 28030257778080 37373677037440 56060515556160 112121031112320