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10010312001030 = 23511196912310479
BaseRepresentation
bin1001000110101011010100…
…0101110100011000000110
31022102222100212002011220110
42101222311011310120012
52303002104333013110
633142401315013450
72052135602041245
oct221526505643006
938388325064813
1010010312001030
11320a39317a020
12115809529a286
13577c78686093
142687048aa95c
151255d03d0a20
hex91ab5174606

10010312001030 has 128 divisors (see below), whose sum is σ = 27628165324800. Its totient is φ = 2295690940800.

The previous prime is 10010312001029. The next prime is 10010312001101. The reversal of 10010312001030 is 3010021301001.

It is a junction number, because it is equal to n+sod(n) for n = 10010312000997 and 10010312001015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3177331 + ... + 5487809.

It is an arithmetic number, because the mean of its divisors is an integer number (215845041600).

Almost surely, 210010312001030 is an apocalyptic number.

10010312001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010312001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13814082662400).

10010312001030 is an abundant number, since it is smaller than the sum of its proper divisors (17617853323770).

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

10010312001030 is a wasteful number, since it uses less digits than its factorization.

10010312001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311210.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10010312001030 its reverse (3010021301001), we get a palindrome (13020333302031).

The spelling of 10010312001030 in words is "ten trillion, ten billion, three hundred twelve million, one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 691 1045 1254 1382 2073 2090 3135 3455 4146 6270 6910 7601 10365 13129 15202 20730 22803 26258 38005 39387 45606 65645 76010 78774 114015 131290 144419 196935 228030 288838 393870 433257 722095 866514 1444190 2166285 2310479 4332570 4620958 6931437 11552395 13862874 23104790 25415269 34657185 43899101 50830538 69314370 76245807 87798202 127076345 131697303 152491614 219495505 254152690 263394606 381229035 438991010 482890111 658486515 762458070 965780222 1316973030 1448670333 1596540989 2414450555 2897340666 3193081978 4789622967 4828901110 7243351665 7982704945 9579245934 14486703330 15965409890 17561950879 23948114835 30334278791 35123901758 47896229670 52685852637 60668557582 87809754395 91002836373 105371705274 151671393955 175619508790 182005672746 263429263185 303342787910 333677066701 455014181865 526858526370 667354133402 910028363730 1001031200103 1668385333505 2002062400206 3336770667010 5005156000515 10010312001030