Search a number
-
+
2100124143198 = 23519415547167
BaseRepresentation
bin11110100011111001001…
…001110100111001011110
321102202210021002022200000
4132203321021310321132
5233402023240040243
64244441140515130
7304505014452054
oct36437111647136
97382707068600
102100124143198
1173a726368574
1229b0273abaa6
1312306b9bb813
147390a1c81d4
153996808a5d3
hex1e8f9274e5e

2100124143198 has 96 divisors (see below), whose sum is σ = 5088306263040. Its totient is φ = 647021442240.

The previous prime is 2100124143197. The next prime is 2100124143241. The reversal of 2100124143198 is 8913414210012.

2100124143198 is a `hidden beast` number, since 2 + 10 + 0 + 124 + 1 + 431 + 98 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100124143197) 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, 2394990 + ... + 3152177.

It is an arithmetic number, because the mean of its divisors is an integer number (53003190240).

Almost surely, 22100124143198 is an apocalyptic number.

2100124143198 is an abundant number, since it is smaller than the sum of its proper divisors (2988182119842).

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

2100124143198 is a wasteful number, since it uses less digits than its factorization.

2100124143198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547244 (or 5547232 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2100124143198 in words is "two trillion, one hundred billion, one hundred twenty-four million, one hundred forty-three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 243 246 342 369 486 513 738 779 1026 1107 1539 1558 2214 2337 3078 3321 4617 4674 6642 7011 9234 9963 14022 19926 21033 42066 63099 126198 189297 378594 5547167 11094334 16641501 33283002 49924503 99849006 105396173 149773509 210792346 227433847 299547018 316188519 449320527 454867694 632377038 682301541 898641054 948565557 1347961581 1364603082 1897131114 2046904623 2695923162 2845696671 4093809246 4321243093 5691393342 6140713869 8537090013 8642486186 12281427738 12963729279 17074180026 18422141607 25611270039 25927458558 36844283214 38891187837 51222540078 55266424821 77782375674 110532849642 116673563511 233347127022 350020690533 700041381066 1050062071599 2100124143198