Search a number
-
+
2200100100993 = 324179178942187
BaseRepresentation
bin100000000001000000001…
…011110101101110000001
321210022211202111012012200
4200001000023311232001
5242021301111212433
64402413444343413
7314644350204504
oct40010013655601
97708752435180
102200100100993
1177906a172383
122b64890a4b69
1312c612530cb2
14786b1d8b13b
153c36a126613
hex200402f5b81

2200100100993 has 48 divisors (see below), whose sum is σ = 3298561593600. Its totient is φ = 1412022792960.

The previous prime is 2200100100973. The next prime is 2200100101007. The reversal of 2200100100993 is 3990010010022.

It is not a de Polignac number, because 2200100100993 - 221 = 2200098003841 is a prime.

It is a super-3 number, since 3×22001001009933 (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2200100100973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52130046 + ... + 52172232.

It is an arithmetic number, because the mean of its divisors is an integer number (68720033200).

Almost surely, 22200100100993 is an apocalyptic number.

It is an amenable number.

2200100100993 is a deficient number, since it is larger than the sum of its proper divisors (1098461492607).

2200100100993 is a wasteful number, since it uses less digits than its factorization.

2200100100993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44102 (or 44099 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 2200100100993 in words is "two trillion, two hundred billion, one hundred million, one hundred thousand, nine hundred ninety-three".

Divisors: 1 3 9 41 79 123 237 369 711 1789 3239 5367 9717 16101 29151 42187 73349 126561 141331 220047 379683 423993 660141 1271979 1729667 3332773 5189001 5794571 9998319 15567003 17383713 29994957 52151139 75472543 136643693 226417629 409931079 679252887 1229793237 3094374263 5962330897 9283122789 17886992691 27849368367 53660978073 244455566777 733366700331 2200100100993