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1010203213110 = 2357131709216523
BaseRepresentation
bin11101011001101001100…
…11011011110100110110
310120120111210120100120220
432230310303123310312
5113022344010304420
62052025252435210
7132661530430020
oct16546463336466
93516453510526
101010203213110
1135a474417a23
1214394b018b06
13743530c6950
1436c73587010
151b4273b5840
hexeb34cdbd36

1010203213110 has 128 divisors (see below), whose sum is σ = 2985744706560. Its totient is φ = 213016075776.

The previous prime is 1010203213109. The next prime is 1010203213121. The reversal of 1010203213110 is 113123020101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010203213110.

It is a congruent number.

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, 4557309 + ... + 4773831.

It is an arithmetic number, because the mean of its divisors is an integer number (23326130520).

Almost surely, 21010203213110 is an apocalyptic number.

1010203213110 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 1010203213110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492872353280).

1010203213110 is an abundant number, since it is smaller than the sum of its proper divisors (1975541493450).

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

1010203213110 is a wasteful number, since it uses less digits than its factorization.

1010203213110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218262.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1010203213110 its reverse (113123020101), we get a palindrome (1123326233211).

The spelling of 1010203213110 in words is "one trillion, ten billion, two hundred three million, two hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1709 2730 3418 5127 8545 10254 11963 17090 22217 23926 25635 35889 44434 51270 59815 66651 71778 111085 119630 133302 155519 179445 216523 222170 311038 333255 358890 433046 466557 649569 666510 777595 933114 1082615 1299138 1515661 1555190 2165230 2332785 2814799 3031322 3247845 4546983 4665570 5629598 6495690 7578305 8444397 9093966 14073995 15156610 16888794 19703593 22734915 28147990 39407186 42221985 45469830 59110779 84443970 98517965 118221558 197035930 295553895 370037807 591107790 740075614 1110113421 1850189035 2220226842 2590264649 3700378070 4810491491 5180529298 5550567105 7770793947 9620982982 11101134210 12951323245 14431474473 15541587894 24052457455 25902646490 28862948946 33673440437 38853969735 48104914910 67346880874 72157372365 77707939470 101020321311 144314744730 168367202185 202040642622 336734404370 505101606555 1010203213110