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20212001101120 = 265316613082451
BaseRepresentation
bin1001001100001111110010…
…01001010101010101000000
32122120020201002221021221211
410212013321021111111000
510122123134240213440
6110553133133255504
74154161141446613
oct446077111252500
978506632837854
1020212001101120
116492952772124
12232527a334594
13b37ca2a6197a
144dc3a216617a
15250b61be6eea
hex1261f9255540

20212001101120 has 112 divisors (see below), whose sum is σ = 49757581334016. Its totient is φ = 7812161280000.

The previous prime is 20212001101109. The next prime is 20212001101163. The reversal of 20212001101120 is 2110110021202.

It is a self number, because there is not a number n which added to its sum of digits gives 20212001101120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5015895 + ... + 8098345.

Almost surely, 220212001101120 is an apocalyptic number.

20212001101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212001101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24878790667008).

20212001101120 is an abundant number, since it is smaller than the sum of its proper divisors (29545580232896).

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

20212001101120 is a wasteful number, since it uses less digits than its factorization.

20212001101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083160 (or 3083150 counting only the distinct ones).

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

Adding to 20212001101120 its reverse (2110110021202), we get a palindrome (22322111122322).

The spelling of 20212001101120 in words is "twenty trillion, two hundred twelve billion, one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 661 992 1240 1322 1984 2480 2644 3305 4960 5288 6610 9920 10576 13220 20491 21152 26440 40982 42304 52880 81964 102455 105760 163928 204910 211520 327856 409820 655712 819640 1311424 1639280 3082451 3278560 6164902 6557120 12329804 15412255 24659608 30824510 49319216 61649020 95555981 98638432 123298040 191111962 197276864 246596080 382223924 477779905 493192160 764447848 955559810 986384320 1528895696 1911119620 2037500111 3057791392 3822239240 4075000222 6115582784 7644478480 8150000444 10187500555 15288956960 16300000888 20375001110 30577913920 32600001776 40750002220 63162503441 65200003552 81500004440 126325006882 130400007104 163000008880 252650013764 315812517205 326000017760 505300027528 631625034410 652000035520 1010600055056 1263250068820 2021200110112 2526500137640 4042400220224 5053000275280 10106000550560 20212001101120