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10312102203130 = 2573131103209669
BaseRepresentation
bin1001011000001111100100…
…1100000100111011111010
31100111211100010120220021001
42112003321030010323322
52322423141131000010
633533151522235214
72113011335323000
oct226037114047372
940454303526231
1010312102203130
113316379948692
1211a667a1b5b0a
1359a572354170
14279173694a70
1512d394d0ec3a
hex960f9304efa

10312102203130 has 128 divisors (see below), whose sum is σ = 23332748544000. Its totient is φ = 3260635967232.

The previous prime is 10312102203101. The next prime is 10312102203317. The reversal of 10312102203130 is 3130220121301.

10312102203130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10312102203098 and 10312102203107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49077936 + ... + 49287604.

It is an arithmetic number, because the mean of its divisors is an integer number (182287098000).

Almost surely, 210312102203130 is an apocalyptic number.

10312102203130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10312102203130 is an abundant number, since it is smaller than the sum of its proper divisors (13020646340870).

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

10312102203130 is a wasteful number, since it uses less digits than its factorization.

10312102203130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210813 (or 210799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10312102203130 its reverse (3130220121301), we get a palindrome (13442322324431).

The spelling of 10312102203130 in words is "ten trillion, three hundred twelve billion, one hundred two million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 343 455 490 637 686 910 1103 1274 1715 2206 3185 3430 4459 5515 6370 7721 8918 11030 14339 15442 22295 28678 38605 44590 54047 71695 77210 100373 108094 143390 200746 209669 270235 378329 419338 501865 540470 702611 756658 1003730 1048345 1405222 1467683 1891645 2096690 2725697 2935366 3513055 3783290 4918277 5451394 7026110 7338415 9836554 10273781 13628485 14676830 19079879 20547562 24591385 27256970 38159758 49182770 51368905 71916467 95399395 102737810 133559153 143832934 190798790 231264907 267118306 359582335 462529814 667795765 719164670 934914071 1156324535 1335591530 1618854349 1869828142 2312649070 3006443791 3237708698 4674570355 6012887582 8094271745 9349140710 11331980443 15032218955 16188543490 21045106537 22663960886 30064437910 42090213074 56659902215 79323863101 105225532685 113319804430 147315745759 158647726202 210451065370 294631491518 396619315505 736578728795 793238631010 1031210220313 1473157457590 2062420440626 5156051101565 10312102203130