Search a number
-
+
31220321201202 = 2376143146161331
BaseRepresentation
bin1110001100101000011000…
…01001111010110000110010
311002112122002212022211221010
413012110030021322300302
513043003204211414302
6150222230105411350
76401410443426630
oct706241411726062
9132478085284833
1031220321201202
119a47511451401
12360285a499b56
1314560a9b13763
1479d1006cc350
153921a3a2b16c
hex1c650c27ac32

31220321201202 has 128 divisors (see below), whose sum is σ = 72857752805376. Its totient is φ = 8734373280000.

The previous prime is 31220321201183. The next prime is 31220321201243. The reversal of 31220321201202 is 20210212302213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509015677 + ... + 509077007.

It is an arithmetic number, because the mean of its divisors is an integer number (569201193792).

Almost surely, 231220321201202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31220321201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36428876402688).

31220321201202 is an abundant number, since it is smaller than the sum of its proper divisors (41637431604174).

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

31220321201202 is a wasteful number, since it uses less digits than its factorization.

31220321201202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62296.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31220321201202 its reverse (20210212302213), we get a palindrome (51430533503415).

It can be divided in two parts, 3122032 and 1201202, that added together give a palindrome (4323234).

The spelling of 31220321201202 in words is "thirty-one trillion, two hundred twenty billion, three hundred twenty-one million, two hundred one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 431 461 854 862 922 1281 1293 1383 2562 2586 2766 3017 3227 6034 6454 9051 9681 18102 19362 26291 28121 52582 56242 61331 78873 84363 122662 157746 168726 183993 184037 196847 198691 367986 368074 393694 397382 429317 552111 590541 596073 858634 1104222 1181082 1192146 1287951 1390837 2575902 2781674 3741191 4172511 7482382 8345022 11223573 12120151 22447146 24240302 26188337 26433661 28273591 36360453 52376674 52867322 56547182 72720906 78565011 79300983 84820773 84841057 157130022 158601966 169641546 169682114 185035627 197915137 254523171 370071254 395830274 509046342 555106881 593745411 1110213762 1187490822 1612453321 1724689051 3224906642 3449378102 4837359963 5174067153 9674719926 10348134306 11287173247 12072823357 12185917721 22574346494 24145646714 24371835442 33861519741 36218470071 36557753163 67723039482 72436940142 73115506326 85301424047 170602848094 255904272141 511808544282 743340980981 1486681961962 2230022942943 4460045885886 5203386866867 10406773733734 15610160600601 31220321201202