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20203133213328 = 243131719037100043
BaseRepresentation
bin1001001011111111010001…
…00101000001101010010000
32122112101211002102220211020
410211333220211001222100
510122002004100311303
6110545105151515440
74153425321604422
oct445775045015220
978471732386736
1020203133213328
11648a11200583a
122323604528b80
13b371bb7896a0
144dbba0500812
152507e3414a53
hex125fe8941a90

20203133213328 has 160 divisors (see below), whose sum is σ = 59516117974656. Its totient is φ = 5850315300864.

The previous prime is 20203133213279. The next prime is 20203133213407. The reversal of 20203133213328 is 82331233130202.

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, 201894475 + ... + 201994517.

Almost surely, 220203133213328 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 20203133213328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758058987328).

20203133213328 is an abundant number, since it is smaller than the sum of its proper divisors (39312984761328).

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

20203133213328 is a wasteful number, since it uses less digits than its factorization.

20203133213328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119121 (or 119115 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 20203133213328 in words is "twenty trillion, two hundred three billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 19037 38074 57111 76148 100043 114222 152296 200086 228444 247481 300129 304592 323629 400172 456888 494962 600258 647258 742443 800344 913776 970887 989924 1200516 1294516 1300559 1484886 1600688 1700731 1941774 1979848 2401032 2589032 2601118 2969772 3401462 3883548 3901677 3959696 4207177 4802064 5102193 5178064 5202236 5939544 6802924 7767096 7803354 8414354 10204386 10404472 11879088 12621531 13605848 15534192 15606708 16828708 20408772 20808944 22109503 25243062 27211696 31213416 33657416 40817544 44219006 50486124 62426832 66328509 67314832 81635088 88438012 100972248 132657018 176876024 201944496 265314036 353752048 530628072 1061256144 1904518591 3809037182 5713555773 7618074364 11427111546 15236148728 22854223092 24758741683 30472297456 32376816047 45708446184 49517483366 64753632094 74276225049 91416892368 97130448141 99034966732 129507264188 148552450098 194260896282 198069933464 259014528376 297104900196 388521792564 396139866928 420898608611 518029056752 594209800392 777043585128 841797217222 1188419600784 1262695825833 1554087170256 1683594434444 2525391651666 3367188868888 5050783303332 6734377737776 10101566606664 20203133213328