Search a number
-
+
3102213100032 = 29321972734127
BaseRepresentation
bin101101001001001010010…
…011110101001000000000
3101222120100120020202012200
4231021022103311020000
5401311313023200112
610333045332553200
7440061506162214
oct55111223651000
911876316222180
103102213100032
11a96706469672
12421290a82800
131966ca9a9897
14aa20dc44944
1555a67dd6cdc
hex2d24a4f5200

3102213100032 has 120 divisors (see below), whose sum is σ = 8953913270016. Its totient is φ = 1033988315136.

The previous prime is 3102213099941. The next prime is 3102213100043. The reversal of 3102213100032 is 2300013122013.

3102213100032 is a `hidden beast` number, since 310 + 221 + 3 + 100 + 0 + 32 = 666.

It is a super-3 number, since 3×31022131000323 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3102213099978 and 3102213100014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90884953 + ... + 90919079.

Almost surely, 23102213100032 is an apocalyptic number.

3102213100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3102213100032 is an abundant number, since it is smaller than the sum of its proper divisors (5851700169984).

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

3102213100032 is a wasteful number, since it uses less digits than its factorization.

3102213100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53878 (or 53859 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3102213100032 its reverse (2300013122013), we get a palindrome (5402226222045).

The spelling of 3102213100032 in words is "three trillion, one hundred two billion, two hundred thirteen million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 19727 34127 39454 59181 68254 78908 102381 118362 136508 157816 177543 204762 236724 273016 307143 315632 355086 409524 473448 546032 614286 631264 710172 819048 946896 1092064 1228572 1262528 1420344 1638096 1893792 2184128 2457144 2525056 2840688 3276192 3787584 4368256 4914288 5050112 5681376 6552384 7575168 8736512 9828576 10100224 11362752 13104768 15150336 17473024 19657152 22725504 26209536 30300672 39314304 45451008 52419072 78628608 90902016 157257216 673223329 1346446658 2019669987 2692893316 4039339974 5385786632 6059009961 8078679948 10771573264 12118019922 16157359896 21543146528 24236039844 32314719792 43086293056 48472079688 64629439584 86172586112 96944159376 129258879168 172345172224 193888318752 258517758336 344690344448 387776637504 517035516672 775553275008 1034071033344 1551106550016 3102213100032