Search a number
-
+
10220301312 = 210313255917
BaseRepresentation
bin10011000010010110…
…10110110000000000
3222101021022002201020
421201023112300000
5131412344120222
64410052305440
7511161061554
oct114113266000
928337262636
1010220301312
114375103711
121b92912280
13c6b532090
146cd50b864
153ec3c765c
hex2612d6c00

10220301312 has 88 divisors (see below), whose sum is σ = 29336392176. Its totient is φ = 3144695808.

The previous prime is 10220301257. The next prime is 10220301331. The reversal of 10220301312 is 21310302201.

It is a junction number, because it is equal to n+sod(n) for n = 10220301291 and 10220301300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88023 + ... + 167894.

Almost surely, 210220301312 is an apocalyptic number.

10220301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220301312 is an abundant number, since it is smaller than the sum of its proper divisors (19116090864).

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

10220301312 is a wasteful number, since it uses less digits than its factorization.

10220301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255953 (or 255935 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10220301312 its reverse (21310302201), we get a palindrome (31530603513).

The spelling of 10220301312 in words is "ten billion, two hundred twenty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 255917 511834 767751 1023668 1535502 2047336 3071004 3326921 4094672 6142008 6653842 8189344 9980763 12284016 13307684 16378688 19961526 24568032 26615368 32757376 39923052 49136064 53230736 65514752 79846104 98272128 106461472 131029504 159692208 196544256 212922944 262059008 319384416 393088512 425845888 638768832 786177024 851691776 1277537664 1703383552 2555075328 3406767104 5110150656 10220301312