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10320200011000 = 2353114612035141
BaseRepresentation
bin1001011000101101101111…
…0110110000110011111000
31100112121020111001011100001
42112023123312300303320
52323041232200323000
633541011234322344
72113416114465205
oct226133366606370
940477214034301
1010320200011000
11331985494a590
1211a815a1293b4
1359b262c21059
14279700d3ccac
1512d6babca46a
hex962dbdb0cf8

10320200011000 has 128 divisors (see below), whose sum is σ = 26401815760320. Its totient is φ = 3744657600000.

The previous prime is 10320200010971. The next prime is 10320200011019. The reversal of 10320200011000 is 11000202301.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 4053430 + ... + 6088570.

Almost surely, 210320200011000 is an apocalyptic number.

10320200011000 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 10320200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200907880160).

10320200011000 is an abundant number, since it is smaller than the sum of its proper divisors (16081615749320).

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

10320200011000 is a wasteful number, since it uses less digits than its factorization.

10320200011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035634 (or 2035620 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10320200011000 its reverse (11000202301), we get a palindrome (10331200213301).

The spelling of 10320200011000 in words is "ten trillion, three hundred twenty billion, two hundred million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 461 500 550 922 1000 1100 1375 1844 2200 2305 2750 3688 4610 5071 5500 9220 10142 11000 11525 18440 20284 23050 25355 40568 46100 50710 57625 92200 101420 115250 126775 202840 230500 253550 461000 507100 633875 1014200 1267750 2035141 2535500 4070282 5071000 8140564 10175705 16281128 20351410 22386551 40702820 44773102 50878525 81405640 89546204 101757050 111932755 179092408 203514100 223865510 254392625 407028200 447731020 508785250 559663775 895462040 938200001 1017570500 1119327550 1876400002 2035141000 2238655100 2798318875 3752800004 4477310200 4691000005 5596637750 7505600008 9382000010 10320200011 11193275500 18764000020 20640400022 22386551000 23455000025 37528000040 41280800044 46910000050 51601000055 82561600088 93820000100 103202000110 117275000125 187640000200 206404000220 234550000250 258005000275 412808000440 469100000500 516010000550 938200001000 1032020001100 1290025001375 2064040002200 2580050002750 5160100005500 10320200011000