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1030140133032 = 2333183149111959
BaseRepresentation
bin11101111110110010010…
…00101111111010101000
310122110222020101211020110
432333121020233322220
5113334211333224112
62105123450054320
7134265555441003
oct16773110577250
93573866354213
101030140133032
11367975281a4a
12147793a1a3a0
13761ac6b669a
1437c0532c53a
151bbe282113c
hexefd922fea8

1030140133032 has 128 divisors (see below), whose sum is σ = 2708536320000. Its totient is φ = 326093349120.

The previous prime is 1030140133027. The next prime is 1030140133049. The reversal of 1030140133032 is 2303310410301.

It is a super-2 number, since 2×10301401330322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9145069 + ... + 9257027.

It is an arithmetic number, because the mean of its divisors is an integer number (21160440000).

Almost surely, 21030140133032 is an apocalyptic number.

1030140133032 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 1030140133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354268160000).

1030140133032 is an abundant number, since it is smaller than the sum of its proper divisors (1678396186968).

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

1030140133032 is a wasteful number, since it uses less digits than its factorization.

1030140133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112231 (or 112227 counting only the distinct ones).

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

Adding to 1030140133032 its reverse (2303310410301), we get a palindrome (3333450543333).

The spelling of 1030140133032 in words is "one trillion, thirty billion, one hundred forty million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 83 93 124 149 166 186 248 249 298 332 372 447 498 596 664 744 894 996 1192 1788 1992 2573 3576 4619 5146 7719 9238 10292 12367 13857 15438 18476 20584 24734 27714 30876 36952 37101 49468 55428 61752 74202 98936 110856 111959 148404 223918 296808 335877 383377 447836 671754 766754 895672 1150131 1343508 1533508 2300262 2687016 3067016 3470729 4600524 6941458 9201048 9292597 10412187 13882916 16681891 18585194 20824374 27765832 27877791 33363782 37170388 41648748 50045673 55755582 66727564 74340776 83297496 100091346 111511164 133455128 200182692 223022328 288070507 400365384 517138621 576141014 864211521 1034277242 1152282028 1384596953 1551415863 1728423042 2068554484 2304564056 2769193906 3102831726 3456846084 4137108968 4153790859 5538387812 6205663452 6913692168 8307581718 11076775624 12411326904 16615163436 33230326872 42922505543 85845011086 128767516629 171690022172 257535033258 343380044344 515070066516 1030140133032