Search a number
-
+
120010022200020 = 223547157271062073
BaseRepresentation
bin11011010010011000000010…
…101111100010001011010100
3120201220211211210022112202210
4123102120002233202023110
5111212221011140400040
61103123502035233420
734164303140400201
oct3322300257421324
9521824753275683
10120010022200020
1135269a67971447
12115628b5748870
1351c6b868baa44
14218c732130ca8
15dd1b0944b480
hex6d2602be22d4

120010022200020 has 96 divisors (see below), whose sum is σ = 345363441228288. Its totient is φ = 31122262858752.

The previous prime is 120010022200001. The next prime is 120010022200021. The reversal of 120010022200020 is 20002220010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120010022199969 and 120010022200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010022200021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135088297 + ... + 135973776.

It is an arithmetic number, because the mean of its divisors is an integer number (3597535846128).

Almost surely, 2120010022200020 is an apocalyptic number.

120010022200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010022200020 is an abundant number, since it is smaller than the sum of its proper divisors (225353419028268).

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

120010022200020 is a wasteful number, since it uses less digits than its factorization.

120010022200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271062289 (or 271062287 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120010022200020 its reverse (20002220010021), we get a palindrome (140012242210041).

The spelling of 120010022200020 in words is "one hundred twenty trillion, ten billion, twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 157 188 235 282 314 470 471 564 628 705 785 940 942 1410 1570 1884 2355 2820 3140 4710 7379 9420 14758 22137 29516 36895 44274 73790 88548 110685 147580 221370 442740 271062073 542124146 813186219 1084248292 1355310365 1626372438 2710620730 3252744876 4065931095 5421241460 8131862190 12739917431 16263724380 25479834862 38219752293 42556745461 50959669724 63699587155 76439504586 85113490922 127399174310 127670236383 152879009172 170226981844 191098761465 212783727305 254798348620 255340472766 382197522930 425567454610 510680945532 638351181915 764395045860 851134909220 1276702363830 2000167036667 2553404727660 4000334073334 6000501110001 8000668146668 10000835183335 12001002220002 20001670366670 24002004440004 30002505550005 40003340733340 60005011100010 120010022200020