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2101311214002 = 23271113116622889
BaseRepresentation
bin11110100100111111111…
…010001001000110110010
321102212211222202202200100
4132210333322021012302
5233411441132322002
64245155023533230
7304546310420640
oct36447772110662
97385758682610
102101311214002
11740185443420
1229b2b8a5a216
131231ca907090
14739bdb10190
15399d73c011c
hex1e93fe891b2

2101311214002 has 96 divisors (see below), whose sum is σ = 6112905402240. Its totient is φ = 503810876160.

The previous prime is 2101311213973. The next prime is 2101311214019. The reversal of 2101311214002 is 2004121131012.

2101311214002 is a `hidden beast` number, since 2 + 10 + 131 + 121 + 400 + 2 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 58293427 + ... + 58329462.

It is an arithmetic number, because the mean of its divisors is an integer number (63676097940).

Almost surely, 22101311214002 is an apocalyptic number.

2101311214002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2101311214002 is an abundant number, since it is smaller than the sum of its proper divisors (4011594188238).

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

2101311214002 is a wasteful number, since it uses less digits than its factorization.

2101311214002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116622928 (or 116622925 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2101311214002 its reverse (2004121131012), we get a palindrome (4105432345014).

The spelling of 2101311214002 in words is "two trillion, one hundred one billion, three hundred eleven million, two hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 116622889 233245778 349868667 699737334 816360223 1049606001 1282851779 1516097557 1632720446 2099212002 2449080669 2565703558 3032195114 3848555337 4548292671 4898161338 7347242007 7697110674 8979962453 9096585342 10612682899 11545666011 13644878013 14694484014 16677073127 17959924906 21225365798 23091332022 26939887359 27289756026 31838048697 33354146254 50031219381 53879774718 63676097394 80819662077 95514146091 100062438762 116739511889 150093658143 161639324154 191028292182 233479023778 300187316286 350218535667 700437071334 1050655607001 2101311214002