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1300223132010 = 2325113735496127
BaseRepresentation
bin10010111010111011010…
…101101000000101101010
311121022002210012201210200
4102322323111220011222
5132300324110211020
62433151514053030
7162636512161125
oct22727325500552
94538083181720
101300223132010
11461470074610
1218bbaa11a176
13957c23c060a
1446d0706d3bc
1523c4d7ed590
hex12ebb56816a

1300223132010 has 96 divisors (see below), whose sum is σ = 3787578842112. Its totient is φ = 306686528640.

The previous prime is 1300223132009. The next prime is 1300223132011. The reversal of 1300223132010 is 102313220031.

1300223132010 is a `hidden beast` number, since 1 + 300 + 2 + 2 + 31 + 320 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (1300223132009) and next prime (1300223132011).

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

It is not an unprimeable number, because it can be changed into a prime (1300223132011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17711434 + ... + 17784693.

It is an arithmetic number, because the mean of its divisors is an integer number (39453946272).

Almost surely, 21300223132010 is an apocalyptic number.

1300223132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1300223132010 is an abundant number, since it is smaller than the sum of its proper divisors (2487355710102).

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

1300223132010 is a wasteful number, since it uses less digits than its factorization.

1300223132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35496188 (or 35496185 counting only the distinct ones).

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

Adding to 1300223132010 its reverse (102313220031), we get a palindrome (1402536352041).

The spelling of 1300223132010 in words is "one trillion, three hundred billion, two hundred twenty-three million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 35496127 70992254 106488381 177480635 212976762 319465143 354961270 390457397 532441905 638930286 780914794 1064883810 1171372191 1313356699 1597325715 1952286985 2342744382 2626713398 3194651430 3514116573 3904573970 3940070097 5856860955 6566783495 7028233146 7880140194 11713721910 11820210291 13133566990 14446923689 17570582865 19700350485 23640420582 28893847378 35141165730 39400700970 43340771067 59101051455 72234618445 86681542134 118202102910 130022313201 144469236890 216703855335 260044626402 433407710670 650111566005 1300223132010