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1030121332032 = 26313461895247
BaseRepresentation
bin11101111110110000000…
…01000001110101000000
310122110220221000122010010
432333120001001311000
5113334142030111112
62105121535104520
7134265236564412
oct16773001016500
93573827018103
101030121332032
11367965700531
12147789672140
13761a8832c30
1437c02a369b2
151bbe0d5a63c
hexefd8041d40

1030121332032 has 112 divisors (see below), whose sum is σ = 2941555744512. Its totient is φ = 316272506880.

The previous prime is 1030121332013. The next prime is 1030121332033. The reversal of 1030121332032 is 2302331210301.

It is a super-2 number, since 2×10301213320322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030121332033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 703033 + ... + 1598279.

It is an arithmetic number, because the mean of its divisors is an integer number (26263890576).

Almost surely, 21030121332032 is an apocalyptic number.

1030121332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030121332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470777872256).

1030121332032 is an abundant number, since it is smaller than the sum of its proper divisors (1911434412480).

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

1030121332032 is a wasteful number, since it uses less digits than its factorization.

1030121332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895736 (or 895726 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1030121332032 its reverse (2302331210301), we get a palindrome (3332452542333).

The spelling of 1030121332032 in words is "one trillion, thirty billion, one hundred twenty-one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 461 624 832 922 1248 1383 1844 2496 2766 3688 5532 5993 7376 11064 11986 14752 17979 22128 23972 29504 35958 44256 47944 71916 88512 95888 143832 191776 287664 383552 575328 895247 1150656 1790494 2685741 3580988 5371482 7161976 10742964 11638211 14323952 21485928 23276422 28647904 34914633 42971856 46552844 57295808 69829266 85943712 93105688 139658532 171887424 186211376 279317064 372422752 412708867 558634128 744845504 825417734 1117268256 1238126601 1650835468 2234536512 2476253202 3301670936 4952506404 5365215271 6603341872 9905012808 10730430542 13206683744 16095645813 19810025616 21460861084 26413367488 32191291626 39620051232 42921722168 64382583252 79240102464 85843444336 128765166504 171686888672 257530333008 343373777344 515060666016 1030121332032