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201220201102320 = 243251249912235941
BaseRepresentation
bin101101110000001000111010…
…100110111011101111110000
3222101110110111210021111022200
4231300020322212323233300
5202333242432440233240
61551543141221503200
760245452110462561
oct5560107246735760
9871413453244280
10201220201102320
115912a00a7a4624
121a6999a6271b00
138837ca2b0346a
143799177022168
15183e2ec4bb930
hexb7023a9bbbf0

201220201102320 has 120 divisors (see below), whose sum is σ = 675770217437952. Its totient is φ = 53658266995200.

The previous prime is 201220201102313. The next prime is 201220201102321. The reversal of 201220201102320 is 23201102022102.

201220201102320 is a `hidden beast` number, since 2 + 0 + 1 + 220 + 20 + 1 + 102 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201220201102293 and 201220201102302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201220201102321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88875550 + ... + 91111490.

Almost surely, 2201220201102320 is an apocalyptic number.

201220201102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220201102320 is an abundant number, since it is smaller than the sum of its proper divisors (474550016335632).

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

201220201102320 is a wasteful number, since it uses less digits than its factorization.

201220201102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360951 (or 2360942 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201220201102320 its reverse (23201102022102), we get a palindrome (224421303124422).

The spelling of 201220201102320 in words is "two hundred one trillion, two hundred twenty billion, two hundred one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 124991 249982 374973 499964 624955 749946 999928 1124919 1249910 1499892 1874865 1999856 2235941 2249838 2499820 2999784 3749730 4471882 4499676 4999640 5624595 5999568 6707823 7499460 8943764 8999352 9999280 11179705 11249190 13415646 14998920 17887528 17998704 20123469 22359410 22498380 26831292 29997840 33539115 35775056 40246938 44718820 44996760 53662584 67078230 80493876 89437640 89993520 100617345 107325168 134156460 160987752 178875280 201234690 268312920 321975504 402469380 536625840 804938760 1609877520 279472501531 558945003062 838417504593 1117890006124 1397362507655 1676835009186 2235780012248 2515252513779 2794725015310 3353670018372 4192087522965 4471560024496 5030505027558 5589450030620 6707340036744 8384175045930 10061010055116 11178900061240 12576262568895 13414680073488 16768350091860 20122020110232 22357800122480 25152525137790 33536700183720 40244040220464 50305050275580 67073400367440 100610100551160 201220201102320