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10111301212104 = 2332616793338909
BaseRepresentation
bin1001001100100011100010…
…0001000101011111001000
31022210122000222002122122100
42103020320201011133020
52311130421102241404
633301022340153400
72062342320134121
oct223107041053710
938718028078570
1010111301212104
1132491a6a2a034
12117377a398860
135846510c6001
1426d56506b048
151280413b9d39
hex932388457c8

10111301212104 has 96 divisors (see below), whose sum is σ = 27837884388600. Its totient is φ = 3314682915840.

The previous prime is 10111301212091. The next prime is 10111301212147. The reversal of 10111301212104 is 40121210311101.

It can be written as a sum of positive squares in 4 ways, for example, as 1942394115204 + 8168907096900 = 1393698^2 + 2858130^2 .

It is a super-2 number, since 2×101113012121042 (a number of 27 digits) contains 22 as substring.

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, 29665402 + ... + 30004310.

Almost surely, 210111301212104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111301212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918942194300).

10111301212104 is an abundant number, since it is smaller than the sum of its proper divisors (17726583176496).

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

10111301212104 is a wasteful number, since it uses less digits than its factorization.

10111301212104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345775 (or 345768 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10111301212104 its reverse (40121210311101), we get a palindrome (50232511523205).

The spelling of 10111301212104 in words is "ten trillion, one hundred eleven billion, three hundred one million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 6793 13586 20379 27172 40758 54344 61137 81516 122274 163032 244548 338909 414373 489096 677818 828746 1016727 1243119 1355636 1657492 2033454 2486238 2711272 3050181 3314984 3729357 4066908 4972476 6100362 7458714 8133816 9944952 12200724 14917428 20673449 24401448 29834856 41346898 62020347 82693796 124040694 165387592 186061041 248081388 372122082 496162776 744244164 1488488328 2302208837 4604417674 6906626511 9208835348 13813253022 18417670696 20719879533 27626506044 41439759066 55253012088 82879518132 140434739057 165759036264 280869478114 421304217171 561738956228 842608434342 1123477912456 1263912651513 1685216868684 2527825303026 3370433737368 5055650606052 10111301212104