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121131232011306 = 232111615993785753
BaseRepresentation
bin11011100010101100010000…
…000011100010010000101010
3120212220000212211101100211200
4123202230100003202100222
5111334103230343330211
61105342530400505030
734341304564502226
oct3342542003422052
9525800784340750
10121131232011306
11356615156495a0
121170406461b176
13527881a8bbaba
1421caad6445786
15e00d7be90b56
hex6e2b100e242a

121131232011306 has 48 divisors (see below), whose sum is σ = 286312032115200. Its totient is φ = 36706197101760.

The previous prime is 121131232011287. The next prime is 121131232011421. The reversal of 121131232011306 is 603110232131121.

121131232011306 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 31 + 2 + 320 + 1 + 1 + 306 = 666.

121131232011306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1211312320113062 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121131232011306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30103726 + ... + 33889478.

It is an arithmetic number, because the mean of its divisors is an integer number (5964834002400).

Almost surely, 2121131232011306 is an apocalyptic number.

121131232011306 is an abundant number, since it is smaller than the sum of its proper divisors (165180800103894).

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

121131232011306 is a wasteful number, since it uses less digits than its factorization.

121131232011306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947371 (or 3947368 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 121131232011306 its reverse (603110232131121), we get a palindrome (724241464142427).

The spelling of 121131232011306 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, two hundred thirty-two million, eleven thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 161599 323198 484797 969594 1454391 1777589 2908782 3555178 3785753 5332767 7571506 10665534 11357259 15998301 22714518 31996602 34071777 41643283 68143554 83286566 124929849 249859698 374789547 749579094 611773899047 1223547798094 1835321697141 3670643394282 5505965091423 6729512889517 11011930182846 13459025779034 20188538668551 40377077337102 60565616005653 121131232011306