Search a number
-
+
120021022102100 = 22527598233531079
BaseRepresentation
bin11011010010100010010010…
…011000110101001001010100
3120201221220020101120110200112
4123102202102120311021110
5111212411023124231400
61103132521341302152
734165142546124440
oct3322422230651124
9521856211513615
10120021022102100
11352736a2042709
1211564a65564958
1351c7c1a7ac942
14218d096db7820
15dd204eebb835
hex6d2892635254

120021022102100 has 144 divisors (see below), whose sum is σ = 303064969267200. Its totient is φ = 40403441934720.

The previous prime is 120021022102099. The next prime is 120021022102171. The reversal of 120021022102100 is 1201220120021.

120021022102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 32224361 + ... + 35755439.

Almost surely, 2120021022102100 is an apocalyptic number.

120021022102100 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 120021022102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151532484633600).

120021022102100 is an abundant number, since it is smaller than the sum of its proper divisors (183043947165100).

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

120021022102100 is a wasteful number, since it uses less digits than its factorization.

120021022102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531982 (or 3531975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120021022102100 its reverse (1201220120021), we get a palindrome (121222242222121).

The spelling of 120021022102100 in words is "one hundred twenty trillion, twenty-one billion, twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 823 826 1180 1475 1646 1652 2065 2950 3292 4115 4130 5761 5900 8230 8260 10325 11522 16460 20575 20650 23044 28805 41150 41300 48557 57610 82300 97114 115220 144025 194228 242785 288050 339899 485570 576100 679798 971140 1213925 1359596 1699495 2427850 3398990 3531079 4855700 6797980 7062158 8497475 14124316 16994950 17655395 24717553 33989900 35310790 49435106 70621580 88276975 98870212 123587765 176553950 208333661 247175530 353107900 416667322 494351060 617938825 833334644 1041668305 1235877650 1458335627 2083336610 2471755300 2906078017 2916671254 4166673220 5208341525 5812156034 5833342508 7291678135 10416683050 11624312068 14530390085 14583356270 20342546119 20833366100 29060780170 29166712540 36458390675 40685092238 58121560340 72651950425 72916781350 81370184476 101712730595 145303900850 145833562700 171458603003 203425461190 290607801700 342917206006 406850922380 508563652975 685834412012 857293015015 1017127305950 1200210221021 1714586030030 2034254611900 2400420442042 3429172060060 4286465075075 4800840884084 6001051105105 8572930150150 12002102210210 17145860300300 24004204420420 30005255525525 60010511051050 120021022102100