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1031023202112 = 26322377824819
BaseRepresentation
bin11110000000011011100…
…01011000111101000000
310122120020210001101021200
433000031301120331000
5113343013414431422
62105351233221200
7134326500422301
oct17001561307500
93576223041250
101031023202112
1136828879a902
1214799b701800
13762c0632877
1437c8a71c7a8
151bc451062ac
hexf00dc58f40

1031023202112 has 84 divisors (see below), whose sum is σ = 3083730667680. Its totient is φ = 328732031232.

The previous prime is 1031023202071. The next prime is 1031023202123. The reversal of 1031023202112 is 2112023201301.

1031023202112 is a `hidden beast` number, since 1 + 0 + 310 + 2 + 320 + 21 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38899162 + ... + 38925657.

Almost surely, 21031023202112 is an apocalyptic number.

1031023202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1031023202112 is an abundant number, since it is smaller than the sum of its proper divisors (2052707465568).

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

1031023202112 is a wasteful number, since it uses less digits than its factorization.

1031023202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77824860 (or 77824847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1031023202112 its reverse (2112023201301), we get a palindrome (3143046403413).

The spelling of 1031023202112 in words is "one trillion, thirty-one billion, twenty-three million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 77824819 155649638 233474457 311299276 466948914 622598552 700423371 933897828 1245197104 1400846742 1789970837 1867795656 2490394208 2801693484 3579941674 3735591312 4980788416 5369912511 5603386968 7159883348 7471182624 10739825022 11206773936 14319766696 14942365248 16109737533 21479650044 22413547872 28639533392 32219475066 42959300088 44827095744 57279066784 64438950132 85918600176 114558133568 128877900264 171837200352 257755800528 343674400704 515511601056 1031023202112