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201022000120 = 2356779949471
BaseRepresentation
bin1011101100110111011…
…0000100101111111000
3201012212120100200002201
42323031312010233320
511243143113000440
6232203115035544
720344340544124
oct2731566045770
9635776320081
10201022000120
1178286750aa7
1232b61a3bbb4
1315c57c8cc86
149a2db18584
15536804e19a
hex2ecdd84bf8

201022000120 has 64 divisors (see below), whose sum is σ = 464861491200. Its totient is φ = 78205944960.

The previous prime is 201022000093. The next prime is 201022000139. The reversal of 201022000120 is 21000220102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201022000097 and 201022000106.

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, 263016 + ... + 686455.

It is an arithmetic number, because the mean of its divisors is an integer number (7263460800).

Almost surely, 2201022000120 is an apocalyptic number.

201022000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022000120 is an abundant number, since it is smaller than the sum of its proper divisors (263839491080).

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

201022000120 is a wasteful number, since it uses less digits than its factorization.

201022000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949628 (or 949624 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201022000120 its reverse (21000220102), we get a palindrome (222022220222).

The spelling of 201022000120 in words is "two hundred one billion, twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 67 79 134 158 268 316 335 395 536 632 670 790 1340 1580 2680 3160 5293 10586 21172 26465 42344 52930 105860 211720 949471 1898942 3797884 4747355 7595768 9494710 18989420 37978840 63614557 75008209 127229114 150016418 254458228 300032836 318072785 375041045 508916456 600065672 636145570 750082090 1272291140 1500164180 2544582280 3000328360 5025550003 10051100006 20102200012 25127750015 40204400024 50255500030 100511000060 201022000120