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1020011210112 = 2737137412383
BaseRepresentation
bin11101101011111010110…
…01111110010110000000
310121111211100001020010010
432311331121332112000
5113202440332210422
62100330420104520
7133456554142326
oct16657531762600
93544740036103
101020011210112
11363647811274
12145827835140
1375257099a7b
1437524009d16
151b7ed498b0c
hexed7d67e580

1020011210112 has 64 divisors (see below), whose sum is σ = 2747565480960. Its totient is φ = 335214942720.

The previous prime is 1020011210107. The next prime is 1020011210129. The reversal of 1020011210112 is 2110121100201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10200112101122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18678928 + ... + 18733455.

It is an arithmetic number, because the mean of its divisors is an integer number (42930710640).

Almost surely, 21020011210112 is an apocalyptic number.

1020011210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020011210112 is an abundant number, since it is smaller than the sum of its proper divisors (1727554270848).

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

1020011210112 is an equidigital number, since it uses as much as digits as its factorization.

1020011210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37412471 (or 37412459 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020011210112 its reverse (2110121100201), we get a palindrome (3130132310313).

The spelling of 1020011210112 in words is "one trillion, twenty billion, eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 284 384 426 568 852 1136 1704 2272 3408 4544 6816 9088 13632 27264 37412383 74824766 112237149 149649532 224474298 299299064 448948596 598598128 897897192 1197196256 1795794384 2394392512 2656279193 3591588768 4788785024 5312558386 7183177536 7968837579 10625116772 14366355072 15937675158 21250233544 31875350316 42500467088 63750700632 85000934176 127501401264 170001868352 255002802528 340003736704 510005605056 1020011210112