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10412211101112 = 2332564892560039
BaseRepresentation
bin1001011110000100100000…
…1001001101110110111000
31100212101201220010211110100
42113201020021031312320
52331043202020213422
634051145335315400
72123154204033222
oct227411011156670
940771656124410
1010412211101112
1133548807a2417
121201b5851bb60
135a6b375a1482
1427dd4cd81412
15130ca38aa7ac
hex9784824ddb8

10412211101112 has 48 divisors (see below), whose sum is σ = 28200248622000. Its totient is φ = 3470674237056.

The previous prime is 10412211101101. The next prime is 10412211101113. The reversal of 10412211101112 is 21110111221401.

10412211101112 is a `hidden beast` number, since 10 + 412 + 21 + 110 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412211101113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2787189 + ... + 5347227.

It is an arithmetic number, because the mean of its divisors is an integer number (587505179625).

Almost surely, 210412211101112 is an apocalyptic number.

10412211101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10412211101112 is an abundant number, since it is smaller than the sum of its proper divisors (17788037520888).

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

10412211101112 is a wasteful number, since it uses less digits than its factorization.

10412211101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616540 (or 2616533 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10412211101112 its reverse (21110111221401), we get a palindrome (31522322322513).

The spelling of 10412211101112 in words is "ten trillion, four hundred twelve billion, two hundred eleven million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 56489 112978 169467 225956 338934 451912 508401 677868 1016802 1355736 2033604 2560039 4067208 5120078 7680117 10240156 15360234 20480312 23040351 30720468 46080702 61440936 92161404 184322808 144614043071 289228086142 433842129213 578456172284 867684258426 1156912344568 1301526387639 1735368516852 2603052775278 3470737033704 5206105550556 10412211101112