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20001211020112 = 24719291823177787
BaseRepresentation
bin1001000110000111001010…
…00100111111001101010000
32121211002121210012200221111
410203003211010333031100
510110144440010120422
6110312232434303104
74133016440355520
oct443034504771520
977732553180844
1020001211020112
116411514210403
1222b0451127a94
13b2114c16619a
144d20c7019680
1524a42634ba77
hex1230e513f350

20001211020112 has 160 divisors (see below), whose sum is σ = 48253654425600. Its totient is φ = 7836420017664.

The previous prime is 20001211020103. The next prime is 20001211020139. The reversal of 20001211020112 is 21102011210002.

It is a junction number, because it is equal to n+sod(n) for n = 20001211020092 and 20001211020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112412083 + ... + 112589869.

It is an arithmetic number, because the mean of its divisors is an integer number (301585340160).

Almost surely, 220001211020112 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 20001211020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24126827212800).

20001211020112 is an abundant number, since it is smaller than the sum of its proper divisors (28252443405488).

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

20001211020112 is a wasteful number, since it uses less digits than its factorization.

20001211020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179673 (or 179667 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20001211020112 its reverse (21102011210002), we get a palindrome (41103222230114).

The spelling of 20001211020112 in words is "twenty trillion, one billion, two hundred eleven million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 56 58 76 112 116 133 152 203 232 266 304 406 464 532 551 812 1064 1102 1624 1823 2128 2204 3248 3646 3857 4408 7292 7714 8816 12761 14584 15428 25522 29168 30856 34637 51044 52867 61712 69274 102088 105734 138548 177787 204176 211468 242459 277096 355574 370069 422936 484918 554192 711148 740138 845872 969836 1004473 1244509 1422296 1480276 1939672 2008946 2489018 2844592 2960552 3377953 3879344 4017892 4978036 5155823 5921104 6755906 7031311 8035784 9956072 10311646 13511812 14062622 16071568 19912144 20623292 23645671 27023624 28125244 36090761 41246584 47291342 54047248 56250488 72181522 82493168 94582684 97960637 112500976 144363044 189165368 195921274 288726088 324105701 378330736 391842548 577452176 648211402 685724459 783685096 1296422804 1371448918 1567370192 2268739907 2592845608 2742897836 4537479814 5185691216 5485795672 6158008319 9074959628 9399065329 10971591344 12316016638 18149919256 18798130658 24632033276 36299838512 37596261316 43106058233 49264066552 65793457303 75192522632 86212116466 98528133104 131586914606 150385045264 172424232932 178582241251 263173829212 344848465864 357164482502 526347658424 689696931728 714328965004 1052695316848 1250075688757 1428657930008 2500151377514 2857315860016 5000302755028 10000605510056 20001211020112