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100202210212 = 22132970194789
BaseRepresentation
bin101110101010010000…
…1000110001110100100
3100120122021010200111211
41131110201012032210
53120203231211322
6114010545041204
710145050506436
oct1352441061644
9316567120454
10100202210212
113954a598685
1217505626204
1395ab68ba60
144bc7c5a656
152916d7db77
hex17548463a4

100202210212 has 48 divisors (see below), whose sum is σ = 195635185200. Its totient is φ = 44588275200.

The previous prime is 100202210209. The next prime is 100202210221. The reversal of 100202210212 is 212012202001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7412521216 + 92789688996 = 86096^2 + 304614^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100202210192 and 100202210201.

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, 1009714 + ... + 1104502.

It is an arithmetic number, because the mean of its divisors is an integer number (4075733025).

Almost surely, 2100202210212 is an apocalyptic number.

It is an amenable number.

100202210212 is a deficient number, since it is larger than the sum of its proper divisors (95432974988).

100202210212 is a wasteful number, since it uses less digits than its factorization.

100202210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95536 (or 95534 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100202210212 its reverse (212012202001), we get a palindrome (312214412213).

The spelling of 100202210212 in words is "one hundred billion, two hundred two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 13 26 29 52 58 116 377 701 754 1402 1508 2804 9113 18226 20329 36452 40658 81316 94789 189578 264277 379156 528554 1057108 1232257 2464514 2748881 4929028 5497762 10995524 35735453 66447089 71470906 132894178 142941812 265788356 863812157 1727624314 1926965581 3455248628 3853931162 7707862324 25050552553 50101105106 100202210212