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1051225505540 = 2257431131545329
BaseRepresentation
bin11110100110000011110…
…11000011111100000100
310201111101201020201122222
433103001323003330010
5114210402212134130
62122532030511512
7135643230236150
oct17230173037404
93644351221588
101051225505540
11375905435441
1214b899365598
137818cbc0072
1438c45826060
151c5289d3ce5
hexf4c1ec3f04

1051225505540 has 96 divisors (see below), whose sum is σ = 2604462094080. Its totient is φ = 348922699776.

The previous prime is 1051225505509. The next prime is 1051225505597. The reversal of 1051225505540 is 455055221501.

1051225505540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10512255055402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1051225505540.

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, 92405 + ... + 1452924.

It is an arithmetic number, because the mean of its divisors is an integer number (27129813480).

Almost surely, 21051225505540 is an apocalyptic number.

1051225505540 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 1051225505540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302231047040).

1051225505540 is an abundant number, since it is smaller than the sum of its proper divisors (1553236588540).

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

1051225505540 is a wasteful number, since it uses less digits than its factorization.

1051225505540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545501 (or 1545499 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 35.

The spelling of 1051225505540 in words is "one trillion, fifty-one billion, two hundred twenty-five million, five hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 113 140 172 215 226 301 430 452 565 602 791 860 1130 1204 1505 1582 2260 3010 3164 3955 4859 6020 7910 9718 15820 19436 24295 34013 48590 68026 97180 136052 170065 340130 680260 1545329 3090658 6181316 7726645 10817303 15453290 21634606 30906580 43269212 54086515 66449147 108173030 132898294 174622177 216346060 265796588 332245735 349244354 465144029 664491470 698488708 873110885 930288058 1222355239 1328982940 1746221770 1860576116 2325720145 2444710478 3492443540 4651440290 4889420956 6111776195 7508753611 9302880580 12223552390 15017507222 24447104780 30035014444 37543768055 52561275277 75087536110 105122550554 150175072220 210245101108 262806376385 525612752770 1051225505540