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20201222112 = 2533713741513
BaseRepresentation
bin10010110100000101…
…100010111111100000
31221010212011102002120
4102310011202333200
5312333003101422
613140314144240
71313414361201
oct226405427740
957125142076
1020201222112
118627077195
123ab9422080
131b9c29c286
14d98d055a8
157d376745c
hex4b4162fe0

20201222112 has 96 divisors (see below), whose sum is σ = 54860252832. Its totient is φ = 6503768064.

The previous prime is 20201222099. The next prime is 20201222141. The reversal of 20201222112 is 21122210202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20201222091 and 20201222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465868 + ... + 507380.

It is an arithmetic number, because the mean of its divisors is an integer number (571460967).

Almost surely, 220201222112 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 20201222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27430126416).

20201222112 is an abundant number, since it is smaller than the sum of its proper divisors (34659030720).

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

20201222112 is a wasteful number, since it uses less digits than its factorization.

20201222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41700 (or 41692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20201222112 its reverse (21122210202), we get a palindrome (41323432314).

The spelling of 20201222112 in words is "twenty billion, two hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 137 148 222 274 296 411 444 548 592 822 888 1096 1184 1644 1776 2192 3288 3552 4384 5069 6576 10138 13152 15207 20276 30414 40552 41513 60828 81104 83026 121656 124539 162208 166052 243312 249078 332104 486624 498156 664208 996312 1328416 1535981 1992624 3071962 3985248 4607943 5687281 6143924 9215886 11374562 12287848 17061843 18431772 22749124 24575696 34123686 36863544 45498248 49151392 68247372 73727088 90996496 136494744 147454176 181992992 210429397 272989488 420858794 545978976 631288191 841717588 1262576382 1683435176 2525152764 3366870352 5050305528 6733740704 10100611056 20201222112