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10021112201112 = 2331074441878699
BaseRepresentation
bin1001000111010011100011…
…0101010011111110011000
31022111000020112120012011220
42101310320311103332120
52303141214210413422
633151345124452040
72053000334162115
oct221647065237630
938430215505156
1010021112201112
113213a25651211
12115a1aa24a020
13578caa09650c
1426904b00b90c
15125a13654e5c
hex91d38d53f98

10021112201112 has 64 divisors (see below), whose sum is σ = 25292641392000. Its totient is φ = 3308403413760.

The previous prime is 10021112201077. The next prime is 10021112201131. The reversal of 10021112201112 is 21110221112001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10021112201091 and 10021112201100.

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 15 ways as a sum of consecutive naturals, for example, 10965139 + ... + 11843837.

It is an arithmetic number, because the mean of its divisors is an integer number (395197521750).

Almost surely, 210021112201112 is an apocalyptic number.

10021112201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021112201112 is an abundant number, since it is smaller than the sum of its proper divisors (15271529190888).

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

10021112201112 is a wasteful number, since it uses less digits than its factorization.

10021112201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883256 (or 883252 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10021112201112 its reverse (21110221112001), we get a palindrome (31131333313113).

The spelling of 10021112201112 in words is "ten trillion, twenty-one billion, one hundred twelve million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 4441 8882 13323 17764 26646 35528 53292 106584 475187 878699 950374 1425561 1757398 1900748 2636097 2851122 3514796 3801496 5272194 5702244 7029592 10544388 11404488 21088776 94020793 188041586 282062379 376083172 564124758 752166344 1128249516 2256499032 3902302259 7804604518 11706906777 15609209036 23413813554 31218418072 46827627108 93655254216 417546341713 835092683426 1252639025139 1670185366852 2505278050278 3340370733704 5010556100556 10021112201112