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2100601070112 = 25359652156873
BaseRepresentation
bin11110100100010101100…
…101001010001000100000
321102211000111111201101210
4132210111211022020200
5233404012333220422
64245000335030120
7304522565330406
oct36442545121040
97384014451353
102100601070112
1173a9505a5846
1229b13b06b340
131231167557ac
1473953695476
1539994d9710c
hex1e91594a220

2100601070112 has 96 divisors (see below), whose sum is σ = 5608495287360. Its totient is φ = 688214896640.

The previous prime is 2100601070101. The next prime is 2100601070129. The reversal of 2100601070112 is 2110701060012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36906508 + ... + 36963380.

It is an arithmetic number, because the mean of its divisors is an integer number (58421825910).

Almost surely, 22100601070112 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 2100601070112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804247643680).

2100601070112 is an abundant number, since it is smaller than the sum of its proper divisors (3507894217248).

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

2100601070112 is a wasteful number, since it uses less digits than its factorization.

2100601070112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63466 (or 63458 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The spelling of 2100601070112 in words is "two trillion, one hundred billion, six hundred one million, seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 6521 13042 19563 26084 39126 52168 56873 78252 104336 113746 156504 170619 208672 227492 313008 341238 384739 454984 626016 682476 769478 909968 1154217 1364952 1538956 1819936 2308434 2729904 3077912 3355507 4616868 5459808 6155824 6711014 9233736 10066521 12311648 13422028 18467472 20133042 26844056 36934944 40266084 53688112 80532168 107376224 161064336 322128672 370868833 741737666 1112606499 1483475332 2225212998 2966950664 4450425996 5933901328 8900851992 11867802656 17801703984 21881261147 35603407968 43762522294 65643783441 87525044588 131287566882 175050089176 262575133764 350100178352 525150267528 700200356704 1050300535056 2100601070112