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20130010320 = 2435723520963
BaseRepresentation
bin10010101111110101…
…111001010011010000
31220221220011110212210
4102233311321103100
5312211240312240
613125251552120
71311561156510
oct225765712320
956856143783
1020130010320
11859a958772
123a995bb640
131b8a5c8014
14d8d689840
157cc39c780
hex4afd794d0

20130010320 has 160 divisors (see below), whose sum is σ = 74418665472. Its totient is φ = 4401086976.

The previous prime is 20130010283. The next prime is 20130010337. The reversal of 20130010320 is 2301003102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20130010296 and 20130010305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221842 + ... + 299121.

Almost surely, 220130010320 is an apocalyptic number.

20130010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130010320 is an abundant number, since it is smaller than the sum of its proper divisors (54288655152).

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

20130010320 is a wasteful number, since it uses less digits than its factorization.

20130010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521009 (or 521003 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20130010320 its reverse (2301003102), we get a palindrome (22431013422).

The spelling of 20130010320 in words is "twenty billion, one hundred thirty million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 520963 1041926 1562889 2083852 2604815 3125778 3646741 4167704 5209630 6251556 7293482 7814445 8335408 10419260 10940223 11982149 12503112 14586964 15628890 18233705 20838520 21880446 23964298 25006224 29173928 31257780 35946447 36467410 41677040 43760892 47928596 54701115 58347856 59910745 62515560 71892894 72934820 83875043 87521784 95857192 109402230 119821490 125031120 143785788 145869640 167750086 175043568 179732235 191714384 218804460 239642980 251625129 287571576 291739280 335500172 359464470 419375215 437608920 479285960 503250258 575143152 671000344 718928940 838750430 875217840 958571920 1006500516 1258125645 1342000688 1437857880 1677500860 2013001032 2516251290 2875715760 3355001720 4026002064 5032502580 6710003440 10065005160 20130010320