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10300010323000 = 2353131532314771
BaseRepresentation
bin1001010111100010100001…
…1101001101110000111000
31100110200010102120202001211
42111320220131031300320
52322223410120314000
633523432011252504
72112102600123106
oct225705035156070
940420112522054
1010300010323000
113311234341122
1211a426474a134
1359939615c9c8
1427874779ac76
1512cdd84907ba
hex95e2874dc38

10300010323000 has 128 divisors (see below), whose sum is σ = 24292216016640. Its totient is φ = 4087508880000.

The previous prime is 10300010322983. The next prime is 10300010323019. The reversal of 10300010323000 is 32301000301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697305615 + ... + 697320385.

It is an arithmetic number, because the mean of its divisors is an integer number (189782937630).

Almost surely, 210300010323000 is an apocalyptic number.

10300010323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300010323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146108008320).

10300010323000 is an abundant number, since it is smaller than the sum of its proper divisors (13992205693640).

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

10300010323000 is a wasteful number, since it uses less digits than its factorization.

10300010323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246 (or 20232 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10300010323000 its reverse (32301000301), we get a palindrome (10332311323301).

The spelling of 10300010323000 in words is "ten trillion, three hundred billion, ten million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 2620 3275 5240 5323 6550 10646 13100 14771 16375 21292 26200 26615 29542 32750 42584 53230 59084 65500 73855 106460 118168 131000 133075 147710 212920 266150 295420 369275 532300 590840 665375 697313 738550 1064600 1330750 1394626 1477100 1846375 1935001 2661500 2789252 2954200 3486565 3692750 3870002 5323000 5578504 6973130 7385500 7740004 9675005 13946260 14771000 15480008 17432825 19350010 27892520 34865650 38700020 48375025 69731300 77400040 78626033 87164125 96750050 139462600 157252066 174328250 193500100 241875125 314504132 348656500 387000200 393130165 483750250 629008264 697313000 786260330 967500500 1572520660 1935001000 1965650825 3145041320 3931301650 7862603300 9828254125 10300010323 15725206600 19656508250 20600020646 39313016500 41200041292 51500051615 78626033000 82400082584 103000103230 206000206460 257500258075 412000412920 515000516150 1030001032300 1287501290375 2060002064600 2575002580750 5150005161500 10300010323000