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1010331220104 = 233237741751133
BaseRepresentation
bin11101011001111000110…
…11101111100010001000
310120120211201102210011200
432230330123233202020
5113023124243020404
62052050104224200
7132664643450163
oct16547433574210
93516751383150
101010331220104
1135a52a6a8528
12143985a6b060
137437379522b
1436c86588ada
151b43374d839
hexeb3c6ef888

1010331220104 has 96 divisors (see below), whose sum is σ = 2810702008920. Its totient is φ = 327624403968.

The previous prime is 1010331220099. The next prime is 1010331220123. The reversal of 1010331220104 is 4010221330101.

1010331220104 is a `hidden beast` number, since 1 + 0 + 10 + 331 + 220 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 967866375204 + 42464844900 = 983802^2 + 206070^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19733322 + ... + 19784454.

Almost surely, 21010331220104 is an apocalyptic number.

It is an amenable number.

1010331220104 is an abundant number, since it is smaller than the sum of its proper divisors (1800370788816).

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

1010331220104 is a wasteful number, since it uses less digits than its factorization.

1010331220104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58599 (or 58592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1010331220104 its reverse (4010221330101), we get a palindrome (5020552550205).

The spelling of 1010331220104 in words is "one trillion, ten billion, three hundred thirty-one million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 7417 14834 22251 29668 44502 51133 59336 66753 89004 102266 133506 153399 178008 204532 267012 274429 306798 409064 460197 534024 548858 613596 823287 920394 1097716 1227192 1646574 1840788 1891921 2195432 2469861 3293148 3681576 3783842 4939722 5675763 6586296 7567684 9879444 11351526 15135368 17027289 19758888 22703052 34054578 45406104 68109156 136218312 379253461 758506922 1137760383 1517013844 2275520766 3034027688 3413281149 4551041532 6826562298 9102083064 13653124596 14032378057 27306249192 28064756114 42097134171 56129512228 84194268342 112259024456 126291402513 168388536684 252582805026 336777073368 505165610052 1010331220104