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1310000423220 = 22325231013132923
BaseRepresentation
bin10011000100000010000…
…111000010000100110100
311122020100011220120220100
4103010002013002010310
5132430340102020340
62441450023234100
7163434013605246
oct23040207020464
94566304816810
101310000423220
114656280a6175
12191a785a8930
13966bcc02428
14475937bc096
1524121d68830
hex131021c2134

1310000423220 has 144 divisors (see below), whose sum is σ = 4187491281792. Its totient is φ = 330836563200.

The previous prime is 1310000423213. The next prime is 1310000423287. The reversal of 1310000423220 is 223240000131.

1310000423220 is a `hidden beast` number, since 13 + 10 + 0 + 0 + 0 + 423 + 220 = 666.

It is a super-2 number, since 2×13100004232202 (a number of 25 digits) contains 22 as substring.

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 = 1310000423193 and 1310000423202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148322 + ... + 1984601.

It is an arithmetic number, because the mean of its divisors is an integer number (29079800568).

Almost surely, 21310000423220 is an apocalyptic number.

1310000423220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310000423220 is an abundant number, since it is smaller than the sum of its proper divisors (2877490858572).

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

1310000423220 is a wasteful number, since it uses less digits than its factorization.

1310000423220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133062 (or 3133057 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1310000423220 its reverse (223240000131), we get a palindrome (1533240423351).

The spelling of 1310000423220 in words is "one trillion, three hundred ten billion, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 101 115 138 180 202 207 230 276 303 345 404 414 460 505 606 690 828 909 1010 1035 1212 1380 1515 1818 2020 2070 2323 3030 3636 4140 4545 4646 6060 6969 9090 9292 11615 13938 18180 20907 23230 27876 34845 41814 46460 69690 83628 104535 139380 209070 418140 3132923 6265846 9398769 12531692 15664615 18797538 28196307 31329230 37595076 46993845 56392614 62658460 72057229 93987690 112785228 140981535 144114458 187975380 216171687 281963070 288228916 316425223 360286145 432343374 563926140 632850446 648515061 720572290 864686748 949275669 1080858435 1265700892 1297030122 1441144580 1582126115 1898551338 2161716870 2594060244 2847827007 3164252230 3242575305 3797102676 4323433740 4746378345 5695654014 6328504460 6485150610 7277780129 9492756690 11391308028 12970301220 14239135035 14555560258 18985513380 21833340387 28478270070 29111120516 36388900645 43666680774 56956540140 65500021161 72777801290 87333361548 109166701935 131000042322 145555602580 218333403870 262000084644 327500105805 436666807740 655000211610 1310000423220