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202000133200032 = 2533713292907753
BaseRepresentation
bin101101111011011111010010…
…001011110001100010100000
3222111020000122121010011122000
4231323133102023301202200
5202434032233044400112
61553341325145244000
760356012416102056
oct5573372213614240
9874200577104560
10202000133200032
11593aa859071302
121a7a4b8ba93600
1388936b92bc42b
1437c4c040681d6
151854748acd7dc
hexb7b7d22f18a0

202000133200032 has 96 divisors (see below), whose sum is σ = 597465182885760. Its totient is φ = 66385020280320.

The previous prime is 202000133200027. The next prime is 202000133200039. The reversal of 202000133200032 is 230002331000202.

It is a happy number.

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

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 = 202000133199978 and 202000133200014.

It is not an unprimeable number, because it can be changed into a prime (202000133200039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1646392533 + ... + 1646515220.

It is an arithmetic number, because the mean of its divisors is an integer number (6223595655060).

Almost surely, 2202000133200032 is an apocalyptic number.

It is an amenable number.

202000133200032 is an abundant number, since it is smaller than the sum of its proper divisors (395465049685728).

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

202000133200032 is a wasteful number, since it uses less digits than its factorization.

202000133200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292907843 (or 3292907829 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 202000133200032 its reverse (230002331000202), we get a palindrome (432002464200234).

The spelling of 202000133200032 in words is "two hundred two trillion, one hundred thirty-three million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 20448 30672 61344 3292907753 6585815506 9878723259 13171631012 19757446518 26343262024 29636169777 39514893036 52686524048 59272339554 79029786072 88908509331 105373048096 118544679108 158059572144 177817018662 233796450463 237089358216 316119144288 355634037324 467592900926 474178716432 701389351389 711268074648 935185801852 948357432864 1402778702778 1422536149296 1870371603704 2104168054167 2805557405556 2845072298592 3740743207408 4208336108334 5611114811112 6312504162501 7481486414816 8416672216668 11222229622224 12625008325002 16833344433336 22444459244448 25250016650004 33666688866672 50500033300008 67333377733344 101000066600016 202000133200032