Search a number
-
+
120200210112300 = 2235217913913160883
BaseRepresentation
bin11011010101001001001010…
…110100110101111100101100
3120202121000202022102112022220
4123111021022310311330230
5111223330012242043200
61103351114134235340
734214115155103363
oct3325111264657454
9522530668375286
10120200210112300
1135332693aa493a
12115937331b5b50
13520baa6133b46
142197a150067da
15dd6a3b2804a0
hex6d524ad35f2c

120200210112300 has 144 divisors (see below), whose sum is σ = 349749485850240. Its totient is φ = 31871831068160.

The previous prime is 120200210112277. The next prime is 120200210112329. The reversal of 120200210112300 is 3211012002021.

It is a super-2 number, since 2×1202002101123002 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120200210112300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747047659 + ... + 747208541.

It is an arithmetic number, because the mean of its divisors is an integer number (2428815873960).

Almost surely, 2120200210112300 is an apocalyptic number.

120200210112300 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 120200210112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174874742925120).

120200210112300 is an abundant number, since it is smaller than the sum of its proper divisors (229549275737940).

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

120200210112300 is a wasteful number, since it uses less digits than its factorization.

120200210112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174992 (or 174985 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120200210112300 its reverse (3211012002021), we get a palindrome (123411222114321).

The spelling of 120200210112300 in words is "one hundred twenty trillion, two hundred billion, two hundred ten million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 537 716 895 1074 1790 2148 2685 3580 4475 5370 8950 10740 13425 13913 17900 26850 27826 41739 53700 55652 69565 83478 139130 160883 166956 208695 278260 321766 347825 417390 482649 643532 695650 804415 834780 965298 1043475 1391300 1608830 1930596 2086950 2413245 2490427 3217660 4022075 4173900 4826490 4980854 7471281 8044150 9652980 9961708 12066225 12452135 14942562 16088300 24132450 24904270 28798057 29885124 37356405 48264900 49808540 57596114 62260675 74712810 86394171 115192228 124521350 143990285 149425620 172788342 186782025 249042700 287980570 345576684 373564050 431970855 575961140 719951425 747128100 863941710 1439902850 1727883420 2159854275 2238365179 2879805700 4319708550 4476730358 6715095537 8639417100 8953460716 11191825895 13430191074 22383651790 26860382148 33575477685 44767303580 55959129475 67150955370 111918258950 134301910740 167877388425 223836517900 335754776850 400667367041 671509553700 801334734082 1202002101123 1602669468164 2003336835205 2404004202246 4006673670410 4808008404492 6010010505615 8013347340820 10016684176025 12020021011230 20033368352050 24040042022460 30050052528075 40066736704100 60100105056150 120200210112300