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10100222211220 = 2252323991870313
BaseRepresentation
bin1001001011111010010000…
…1010000011010010010100
31022202120102212000002120021
42102332210022003102110
52310440223341224340
633251551130514524
72061500631156031
oct222764412032224
938676385002507
1010100222211220
113244531142759
1211715a7b95a44
135835a69cac9b
1426cbd38b4388
15127ae3922e4a
hex92fa4283494

10100222211220 has 48 divisors (see below), whose sum is σ = 22225266362880. Its totient is φ = 3848263629056.

The previous prime is 10100222211217. The next prime is 10100222211221. The reversal of 10100222211220 is 2211222200101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100222211194 and 10100222211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100222211221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45825217 + ... + 46045096.

It is an arithmetic number, because the mean of its divisors is an integer number (463026382560).

Almost surely, 210100222211220 is an apocalyptic number.

10100222211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100222211220 is an abundant number, since it is smaller than the sum of its proper divisors (12125044151660).

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

10100222211220 is a wasteful number, since it uses less digits than its factorization.

10100222211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91870584 (or 91870582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10100222211220 its reverse (2211222200101), we get a palindrome (12311444411321).

The spelling of 10100222211220 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 239 460 478 956 1195 2390 4780 5497 10994 21988 27485 54970 109940 91870313 183740626 367481252 459351565 918703130 1837406260 2113017199 4226034398 8452068796 10565085995 21130171990 21957004807 42260343980 43914009614 87828019228 109785024035 219570048070 439140096140 505011110561 1010022221122 2020044442244 2525055552805 5050111105610 10100222211220