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1011433332420 = 2232572114674981
BaseRepresentation
bin11101011011111100001…
…11111101111011000100
310120200200112020220001100
432231332013331323010
5113032403413114140
62052351314300100
7133034155321500
oct16557607757304
93520615226040
101011433332420
1135aa45825855
12144032b87630
13744bac054b4
1436d4cab7300
151b49a3a0530
hexeb7e1fdec4

1011433332420 has 108 divisors (see below), whose sum is σ = 3568914789804. Its totient is φ = 231184759680.

The previous prime is 1011433332419. The next prime is 1011433332457. The reversal of 1011433332420 is 242333341101.

It is a happy number.

1011433332420 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 333 + 324 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 531126118656 + 480307213764 = 728784^2 + 693042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57328671 + ... + 57346310.

It is an arithmetic number, because the mean of its divisors is an integer number (33045507313).

Almost surely, 21011433332420 is an apocalyptic number.

1011433332420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011433332420 is an abundant number, since it is smaller than the sum of its proper divisors (2557481457384).

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

1011433332420 is a wasteful number, since it uses less digits than its factorization.

1011433332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114675010 (or 114674998 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1011433332420 its reverse (242333341101), we get a palindrome (1253766673521).

The spelling of 1011433332420 in words is "one trillion, eleven billion, four hundred thirty-three million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 114674981 229349962 344024943 458699924 573374905 688049886 802724867 1032074829 1146749810 1376099772 1605449734 1720124715 2064149658 2293499620 2408174601 3210899468 3440249430 4013624335 4128299316 4816349202 5160374145 5619074069 6880498860 7224523803 8027248670 9632698404 10320748290 11238148138 12040873005 14449047606 16054497340 16857222207 20641496580 22476296276 24081746010 28095370345 28898095212 33714444414 36122619015 48163492020 50571666621 56190740690 67428888828 72245238030 84286111035 101143333242 112381481380 144490476060 168572222070 202286666484 252858333105 337144444140 505716666210 1011433332420