Search a number
-
+
90202112201322 = 232112411890316279
BaseRepresentation
bin10100100000100111010000…
…110110110001001001101010
3102211101020102021211220110100
4110200213100312301021222
543310332411210420242
6515502140035330230
724666613300034202
oct2440472066611152
9384336367756410
1090202112201322
1126817556856490
12a149934a50976
133b4403aaaa274
14183bb3c509402
15a6656d47854c
hex5209d0db126a

90202112201322 has 48 divisors (see below), whose sum is σ = 214089660607680. Its totient is φ = 27220554403200.

The previous prime is 90202112201321. The next prime is 90202112201323. The reversal of 90202112201322 is 22310221120209.

90202112201322 is a `hidden beast` number, since 9 + 0 + 20 + 2 + 112 + 201 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (90202112201321) and next prime (90202112201323).

It is not an unprimeable number, because it can be changed into a prime (90202112201321) 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, 945110422 + ... + 945205857.

It is an arithmetic number, because the mean of its divisors is an integer number (4460201262660).

Almost surely, 290202112201322 is an apocalyptic number.

90202112201322 is an abundant number, since it is smaller than the sum of its proper divisors (123887548406358).

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

90202112201322 is a wasteful number, since it uses less digits than its factorization.

90202112201322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890316539 (or 1890316536 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 90202112201322 in words is "ninety trillion, two hundred two billion, one hundred twelve million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 241 482 723 1446 2169 2651 4338 5302 7953 15906 23859 47718 1890316279 3780632558 5670948837 11341897674 17012846511 20793479069 34025693022 41586958138 62380437207 124760874414 187141311621 374282623242 455566223239 911132446478 1366698669717 2733397339434 4100096009151 5011228455629 8200192018302 10022456911258 15033685366887 30067370733774 45101056100661 90202112201322