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20011002121012 = 22721931331352321
BaseRepresentation
bin1001000110011001011001…
…01011000100101100110100
32121212000220010220011101011
410203030230223010230310
510110330013020333022
6110320532155442004
74133514200350300
oct443145453045464
977760803804334
1020011002121012
116415689014431
1222b2324156304
13b2204c7a1906
144d2775520d00
1524a7eabe3977
hex12332cac4b34

20011002121012 has 144 divisors (see below), whose sum is σ = 44278174778880. Its totient is φ = 7860154982400.

The previous prime is 20011002121009. The next prime is 20011002121021. The reversal of 20011002121012 is 21012120011002.

It is a junction number, because it is equal to n+sod(n) for n = 20011002120983 and 20011002121001.

It is a congruent number.

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, 382439812 + ... + 382492132.

Almost surely, 220011002121012 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 20011002121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22139087389440).

20011002121012 is an abundant number, since it is smaller than the sum of its proper divisors (24267172657868).

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

20011002121012 is a wasteful number, since it uses less digits than its factorization.

20011002121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55702 (or 55693 counting only the distinct ones).

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

Adding to 20011002121012 its reverse (21012120011002), we get a palindrome (41023122132014).

The spelling of 20011002121012 in words is "twenty trillion, eleven billion, two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 19 28 31 38 49 62 76 98 124 133 196 217 266 434 532 589 868 931 1178 1519 1862 2356 3038 3313 3724 4123 6076 6626 8246 13252 16492 23191 28861 46382 52321 57722 62947 92764 102703 104642 115444 125894 162337 205406 209284 251788 324674 366247 410812 440629 649348 718921 732494 881258 994099 1437842 1464988 1621951 1762516 1951357 1988198 2563729 2875684 3084403 3243902 3902714 3976396 5032447 5127458 6168806 6487804 6958693 7805428 10064894 10254916 11353657 12337612 13659499 13917386 20129788 22707314 27318998 27834772 30817069 45414628 48710851 54637996 61634138 79475599 95616493 97421702 123268276 158951198 173339473 191232986 194843404 215719483 317902396 346678946 382465972 431438966 693357892 862877932 1213376311 1510036381 2426752622 3020072762 3293449987 4853505244 5373523663 6040145524 6586899974 8493634177 10747047326 13173799948 16987268354 21494094652 23054149909 33974536708 37614665641 46108299818 75229331282 92216599636 102096949597 150458662564 161379049363 204193899194 263302659487 322758098726 408387798388 526605318974 645516197452 714678647179 1053210637948 1429357294358 2858714588716 5002750530253 10005501060506 20011002121012