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10032133301020 = 22523263148955691
BaseRepresentation
bin1001000111111100100110…
…1111011110001100011100
31022112001200121201002001101
42101333021233132030130
52303331302111113040
633200410505122444
72053540421034535
oct221771157361434
938461617632041
1010032133301020
113218670790746
121160365189424
1357a04549aacc
142697b4a1168c
15125e5aeb109a
hex91fc9bde31c

10032133301020 has 96 divisors (see below), whose sum is σ = 22082261160960. Its totient is φ = 3821150192640.

The previous prime is 10032133300963. The next prime is 10032133301039. The reversal of 10032133301020 is 2010333123001.

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, 180111375 + ... + 180167065.

It is an arithmetic number, because the mean of its divisors is an integer number (230023553760).

Almost surely, 210032133301020 is an apocalyptic number.

10032133301020 is a gapful number since it is divisible by the number (10) 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 10032133301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041130580480).

10032133301020 is an abundant number, since it is smaller than the sum of its proper divisors (12050127859940).

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

10032133301020 is a wasteful number, since it uses less digits than its factorization.

10032133301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57475 (or 57473 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10032133301020 its reverse (2010333123001), we get a palindrome (12042466424021).

The spelling of 10032133301020 in words is "ten trillion, thirty-two billion, one hundred thirty-three million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 263 460 526 1052 1315 1489 2630 2978 5260 5956 6049 7445 12098 14890 24196 29780 30245 34247 55691 60490 68494 111382 120980 136988 171235 222764 278455 342470 391607 556910 684940 783214 1113820 1280893 1566428 1958035 2561786 3916070 5123572 6404465 7832140 9006961 12808930 14646733 18013922 25617860 29293466 36027844 45034805 58586932 73233665 82923899 90069610 146467330 165847798 180139220 292934660 331695596 336874859 414619495 673749718 829238990 1347499436 1658477980 1684374295 1907249677 3368748590 3814499354 6737497180 7628998708 9536248385 19072496770 21808985437 38144993540 43617970874 87235941748 109044927185 218089854370 436179708740 501606665051 1003213330102 2006426660204 2508033325255 5016066650510 10032133301020