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10100221112212 = 22711291348783843
BaseRepresentation
bin1001001011111010010000…
…0101110110111110010100
31022202120102202221021000021
42102332210011312332110
52310440223101042322
633251551051154524
72061500615630650
oct222764405667624
938676382837007
1010100221112212
113244530561a90
1211715a7745a44
135835a670499a
1426cbd36a9a60
15127ae37a74c7
hex92fa4176f94

10100221112212 has 96 divisors (see below), whose sum is σ = 22798699499520. Its totient is φ = 3799129192320.

The previous prime is 10100221112209. The next prime is 10100221112227. The reversal of 10100221112212 is 21221112200101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120423963 + ... + 120507805.

It is an arithmetic number, because the mean of its divisors is an integer number (237486453120).

Almost surely, 210100221112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100221112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399349749760).

10100221112212 is an abundant number, since it is smaller than the sum of its proper divisors (12698478387308).

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

10100221112212 is a wasteful number, since it uses less digits than its factorization.

10100221112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97381 (or 97379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10100221112212 its reverse (21221112200101), we get a palindrome (31321333312313).

The spelling of 10100221112212 in words is "ten trillion, one hundred billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2233 4466 8932 13487 26974 53948 83843 94409 148357 167686 188818 296714 335372 377636 391123 586901 593428 782246 922273 1038499 1173802 1564492 1844546 2076998 2347604 2431447 2737861 3689092 4153996 4302353 4862894 5475722 6455911 8604706 9725788 10951444 12911822 17020129 17209412 25823644 26745917 30116471 34040258 53491834 60232942 68080516 106983668 120465884 187221419 374442838 748885676 1130790541 2261581082 4523162164 7915533787 12438695951 15831067574 24877391902 31662135148 32792925689 49754783804 65585851378 87070871657 131171702756 174141743314 229550479823 348283486628 360722182579 459100959646 721444365158 918201919292 1442888730316 2525055278053 5050110556106 10100221112212