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10133333333130 = 2357431329933937
BaseRepresentation
bin1001001101110101100110…
…1110111101010010001010
31022212201220102102100212210
42103131121232331102022
52312011031313130010
633315104501045550
72064052306104120
oct223353156752212
938781812370783
1010133333333130
113257582544717
121177aa89b68b6
135867527b3507
142706551ad910
151288d0740b20
hex93759bbd48a

10133333333130 has 128 divisors (see below), whose sum is σ = 27868039372800. Its totient is φ = 2310047953920.

The previous prime is 10133333333129. The next prime is 10133333333147. The reversal of 10133333333130 is 3133333333101.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 298575522 + ... + 298609458.

It is an arithmetic number, because the mean of its divisors is an integer number (217719057600).

Almost surely, 210133333333130 is an apocalyptic number.

10133333333130 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 10133333333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934019686400).

10133333333130 is an abundant number, since it is smaller than the sum of its proper divisors (17734706039670).

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

10133333333130 is a wasteful number, since it uses less digits than its factorization.

10133333333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37684.

The product of its (nonzero) digits is 19683, while the sum is 30.

Adding to 10133333333130 its reverse (3133333333101), we get a palindrome (13266666666231).

The spelling of 10133333333130 in words is "ten trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 431 862 1293 2155 2586 3017 3299 4310 6034 6465 6598 9051 9897 12930 15085 16495 18102 19794 23093 30170 32990 33937 45255 46186 49485 67874 69279 90510 98970 101811 115465 138558 169685 203622 230930 237559 339370 346395 475118 509055 692790 712677 1018110 1187795 1421869 1425354 2375590 2843738 3563385 4265607 7109345 7126770 8531214 9953083 14218690 14626847 19906166 21328035 29253694 29859249 42656070 43880541 49765415 59718498 73134235 87761082 99530830 102387929 111958163 146268470 149296245 204775858 219402705 223916326 298592490 307163787 335874489 438805410 511939645 559790815 614327574 671748978 783707141 1023879290 1119581630 1535818935 1567414282 1679372445 2351121423 3071637870 3358744890 3918535705 4702242846 7837071410 11755607115 23511214230 48253968253 96507936506 144761904759 241269841265 289523809518 337777777771 482539682530 675555555542 723809523795 1013333333313 1447619047590 1688888888855 2026666666626 3377777777710 5066666666565 10133333333130