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211011101196 = 223723153218419
BaseRepresentation
bin1100010010000100111…
…1011110001000001100
3202011122201121120201020
43010201033132020030
511424122320214241
6240534232114140
721150023523600
oct3044117361014
9664581546636
10211011101196
11815422a1535
1234a8b235950
1316b8a63267c
14a2da641500
15574eea7b66
hex31213de20c

211011101196 has 144 divisors (see below), whose sum is σ = 602377896960. Its totient is φ = 57242989440.

The previous prime is 211011101183. The next prime is 211011101233. The reversal of 211011101196 is 691101110112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856875 + ... + 1075293.

It is an arithmetic number, because the mean of its divisors is an integer number (4183179840).

Almost surely, 2211011101196 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 211011101196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301188948480).

211011101196 is an abundant number, since it is smaller than the sum of its proper divisors (391366795764).

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

211011101196 is a wasteful number, since it uses less digits than its factorization.

211011101196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218524 (or 218515 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 24.

The spelling of 211011101196 in words is "two hundred eleven billion, eleven million, one hundred one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 53 62 84 93 98 106 124 147 159 186 196 212 217 294 318 371 372 434 588 636 651 742 868 1113 1302 1484 1519 1643 2226 2597 2604 3038 3286 4452 4557 4929 5194 6076 6572 7791 9114 9858 10388 11501 15582 18228 19716 23002 31164 34503 46004 69006 80507 138012 161014 218419 241521 322028 436838 483042 655257 873676 966084 1310514 1528933 2621028 3057866 4586799 6115732 6770989 9173598 10702531 11576207 13541978 18347196 20312967 21405062 23152414 27083956 32107593 34728621 40625934 42810124 46304828 47396923 64215186 69457242 81033449 81251868 94793846 128430372 138914484 142190769 162066898 189587692 243100347 284381538 324133796 331778461 358862417 486200694 567234143 568763076 663556922 717724834 972401388 995335383 1076587251 1134468286 1327113844 1435449668 1701702429 1990670766 2153174502 2268936572 2512036919 3403404858 3981341532 4306349004 5024073838 6806809716 7536110757 10048147676 15072221514 17584258433 30144443028 35168516866 52752775299 70337033732 105505550598 211011101196