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1041207228126 = 2321314949160821
BaseRepresentation
bin11110010011011001100…
…10010111011011011110
310200112112112002111122100
433021230302113123132
5114024343022300001
62114153552225530
7135140041261242
oct17115462273336
93615475074570
101041207228126
1137163437732a
1214996223b2a6
13772544a3570
14385750a6422
151c13e215586
hexf26cc976de

1041207228126 has 96 divisors (see below), whose sum is σ = 2450810325600. Its totient is φ = 317567980800.

The previous prime is 1041207228077. The next prime is 1041207228169. The reversal of 1041207228126 is 6218227021401.

1041207228126 is a `hidden beast` number, since 1 + 0 + 412 + 0 + 7 + 228 + 12 + 6 = 666.

It is a super-2 number, since 2×10412072281262 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17088796 + ... + 17149616.

It is an arithmetic number, because the mean of its divisors is an integer number (25529274225).

Almost surely, 21041207228126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041207228126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225405162800).

1041207228126 is an abundant number, since it is smaller than the sum of its proper divisors (1409603097474).

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

1041207228126 is a wasteful number, since it uses less digits than its factorization.

1041207228126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61482 (or 61479 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1041207228126 in words is "one trillion, forty-one billion, two hundred seven million, two hundred twenty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 491 894 982 1341 1473 1937 2682 2946 3874 4419 5811 6383 8838 11622 12766 17433 19149 34866 38298 57447 60821 73159 114894 121642 146318 182463 219477 364926 438954 547389 658431 790673 951067 1094778 1316862 1581346 1902134 2372019 2853201 4744038 5706402 7116057 8559603 9062329 14232114 17119206 18124658 27186987 29863111 54373974 59726222 81560961 89589333 117810277 163121922 179178666 235620554 268767999 353430831 388220443 537535998 706861662 776440886 1060292493 1164661329 2120584986 2329322658 3493983987 4449603539 6987967974 8899207078 13348810617 26697621234 40046431851 57844846007 80092863702 115689692014 173534538021 347069076042 520603614063 1041207228126