Search a number
-
+
3331230202320 = 2435149279133377
BaseRepresentation
bin110000011110011100110…
…010101111100111010000
3102210110111011022221220020
4300132130302233213100
5414034324412433240
611030202424143440
7462446663344116
oct60363462574720
912713434287806
103331230202320
111074848671239
12459746307b80
131b2197861167
14b73379d5ab6
155b9bda310d0
hex3079ccaf9d0

3331230202320 has 160 divisors (see below), whose sum is σ = 10400157561600. Its totient is φ = 882023546880.

The previous prime is 3331230202291. The next prime is 3331230202357. The reversal of 3331230202320 is 232020321333.

It is a super-2 number, since 2×33312302023202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99789472 + ... + 99822848.

It is an arithmetic number, because the mean of its divisors is an integer number (65000984760).

Almost surely, 23331230202320 is an apocalyptic number.

3331230202320 is a gapful number since it is divisible by the number (30) 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 3331230202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200078780800).

3331230202320 is an abundant number, since it is smaller than the sum of its proper divisors (7068927359280).

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

3331230202320 is a wasteful number, since it uses less digits than its factorization.

3331230202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36333 (or 36327 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3331230202320 its reverse (232020321333), we get a palindrome (3563250523653).

The spelling of 3331230202320 in words is "three trillion, three hundred thirty-one billion, two hundred thirty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2791 2980 3576 4470 5582 5960 7152 8373 8940 11164 11920 13955 16746 17880 22328 27910 33377 33492 35760 41865 44656 55820 66754 66984 83730 100131 111640 133508 133968 166885 167460 200262 223280 267016 333770 334920 400524 415859 500655 534032 667540 669840 801048 831718 1001310 1247577 1335080 1602096 1663436 2002620 2079295 2495154 2670160 3326872 4005240 4158590 4973173 4990308 6237885 6653744 8010480 8317180 9946346 9980616 12475770 14919519 16634360 19892692 19961232 24865865 24951540 29839038 33268720 39785384 49731730 49903080 59678076 74597595 79570768 93155207 99463460 99806160 119356152 149195190 186310414 198926920 238712304 279465621 298390380 372620828 397853840 465776035 558931242 596780760 745241656 931552070 1117862484 1193561520 1397328105 1490483312 1863104140 2235724968 2794656210 3726208280 4471449936 5589312420 7452416560 11178624840 13880125843 22357249680 27760251686 41640377529 55520503372 69400629215 83280755058 111041006744 138801258430 166561510116 208201887645 222082013488 277602516860 333123020232 416403775290 555205033720 666246040464 832807550580 1110410067440 1665615101160 3331230202320