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1030133003032 = 237311674018861
BaseRepresentation
bin11101111110110001011…
…01100011001100011000
310122110221201222120201101
432333120231203030120
5113334203022044112
62105123033201144
7134265441023560
oct16773055431430
93573851876641
101030133003032
11367971252091
121477915601b4
13761ab08b253
1437c043d3da0
151bbe1db3757
hexefd8b63318

1030133003032 has 128 divisors (see below), whose sum is σ = 2298255482880. Its totient is φ = 423578880000.

The previous prime is 1030133003027. The next prime is 1030133003057. The reversal of 1030133003032 is 2303003310301.

It is a super-2 number, since 2×10301330030322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 116250282 + ... + 116259142.

It is an arithmetic number, because the mean of its divisors is an integer number (17955120960).

Almost surely, 21030133003032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030133003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149127741440).

1030133003032 is an abundant number, since it is smaller than the sum of its proper divisors (1268122479848).

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

1030133003032 is a wasteful number, since it uses less digits than its factorization.

1030133003032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9473 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 1030133003032 its reverse (2303003310301), we get a palindrome (3333136313333).

The spelling of 1030133003032 in words is "one trillion, thirty billion, one hundred thirty-three million, three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 167 217 248 334 401 434 668 802 868 1169 1336 1604 1736 2338 2807 3208 4676 5177 5614 8861 9352 10354 11228 12431 17722 20708 22456 24862 35444 36239 41416 49724 62027 66967 70888 72478 87017 99448 124054 133934 144956 174034 248108 267868 274691 289912 348068 468769 496216 535736 549382 696136 937538 1098764 1479787 1875076 1922837 2075977 2197528 2959574 3553261 3750152 3845674 4151954 5919148 7106522 7691348 8303908 10358509 11838296 14213044 14531839 15382696 16607816 20717018 24872827 28426088 29063678 41434036 45873397 49745654 58127356 82868072 91746794 99491308 110151091 116254712 183493588 198982616 220302182 321113779 366987176 440604364 593394587 642227558 771057637 881208728 1186789174 1284455116 1542115274 2373578348 2568910232 3084230548 4153762109 4747156696 6168461096 8307524218 16615048436 18395232197 33230096872 36790464394 73580928788 128766625379 147161857576 257533250758 515066501516 1030133003032