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1310214302010 = 234517523181931
BaseRepresentation
bin10011000100001110110…
…110111010100100111010
311122020220002100202110000
4103010032312322210322
5132431304330131020
62441523143333430
7163442221545465
oct23041666724472
94566802322400
101310214302010
114657278a84a9
12191b18151276
1396725308923
14475b3d742dc
1524135a15090
hex1310edba93a

1310214302010 has 160 divisors (see below), whose sum is σ = 3737410155072. Its totient is φ = 328207541760.

The previous prime is 1310214302003. The next prime is 1310214302053. The reversal of 1310214302010 is 102034120131.

1310214302010 is a `hidden beast` number, since 1 + 3 + 10 + 21 + 430 + 201 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7110745 + ... + 7292675.

Almost surely, 21310214302010 is an apocalyptic number.

1310214302010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310214302010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868705077536).

1310214302010 is an abundant number, since it is smaller than the sum of its proper divisors (2427195853062).

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

1310214302010 is a wasteful number, since it uses less digits than its factorization.

1310214302010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182490 (or 182481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1310214302010 its reverse (102034120131), we get a palindrome (1412248422141).

The spelling of 1310214302010 in words is "one trillion, three hundred ten billion, two hundred fourteen million, three hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 523 765 810 918 1046 1377 1530 1569 2295 2615 2754 3138 4590 4707 5230 6885 7845 8891 9414 13770 14121 15690 17782 23535 26673 28242 42363 44455 47070 53346 70605 80019 84726 88910 133365 141210 160038 181931 211815 240057 266730 363862 400095 423630 480114 545793 720171 800190 909655 1091586 1200285 1440342 1637379 1819310 2400570 2728965 3092827 3274758 3600855 4912137 5457930 6185654 7201710 8186895 9278481 9824274 14736411 15464135 16373790 18556962 24560685 27835443 29472822 30928270 46392405 49121370 55670886 73682055 83506329 92784810 95149913 139177215 147364110 167012658 190299826 250518987 278354430 285449739 417531645 475749565 501037974 570899478 835063290 856349217 951499130 1252594935 1427248695 1617548521 1712698434 2505189870 2569047651 2854497390 3235097042 4281746085 4852645563 5138095302 7707142953 8087742605 8563492170 9705291126 12845238255 14557936689 15414285906 16175485210 24263227815 25690476510 29115873378 38535714765 43673810067 48526455630 72789683445 77071429530 87347620134 131021430201 145579366890 218369050335 262042860402 436738100670 655107151005 1310214302010