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10033202040 = 23354312011619
BaseRepresentation
bin10010101100000011…
…01000001101111000
3221220020020110202120
421112001220031320
5131021444431130
64335330201240
7503426544621
oct112601501570
927806213676
1010033202040
114289532214
121b40123220
13c3b843a54
146b2726a48
153dac6a910
hex256068378

10033202040 has 128 divisors (see below), whose sum is σ = 30844281600. Its totient is φ = 2609510400.

The previous prime is 10033202029. The next prime is 10033202059. The reversal of 10033202040 is 4020233001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 6196351 + ... + 6197969.

It is an arithmetic number, because the mean of its divisors is an integer number (240970950).

Almost surely, 210033202040 is an apocalyptic number.

10033202040 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 10033202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422140800).

10033202040 is an abundant number, since it is smaller than the sum of its proper divisors (20811079560).

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

10033202040 is a wasteful number, since it uses less digits than its factorization.

10033202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10033202040 its reverse (4020233001), we get a palindrome (14053435041).

The spelling of 10033202040 in words is "ten billion, thirty-three million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1201 1290 1619 1720 2402 2580 3238 3603 4804 4857 5160 6005 6476 7206 8095 9608 9714 12010 12952 14412 16190 18015 19428 24020 24285 28824 32380 36030 38856 48040 48570 51643 64760 69617 72060 97140 103286 139234 144120 154929 194280 206572 208851 258215 278468 309858 348085 413144 417702 516430 556936 619716 696170 774645 835404 1032860 1044255 1239432 1392340 1549290 1670808 1944419 2065720 2088510 2784680 3098580 3888838 4177020 5833257 6197160 7777676 8354040 9722095 11666514 15555352 19444190 23333028 29166285 38888380 46666056 58332570 77776760 83610017 116665140 167220034 233330280 250830051 334440068 418050085 501660102 668880136 836100170 1003320204 1254150255 1672200340 2006640408 2508300510 3344400680 5016601020 10033202040