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103020413000 = 23531941132247
BaseRepresentation
bin101111111110001111…
…1101100000001001000
3100211220200002012221212
41133330133230001020
53141441211204000
6115154340552252
710304641030211
oct1377437540110
9324820065855
10103020413000
113a76637909a
1217b713b2688
13993a4c037b
144db425c408
152a2e4b1c35
hex17fc7ec048

103020413000 has 128 divisors (see below), whose sum is σ = 259946668800. Its totient is φ = 38086848000.

The previous prime is 103020412933. The next prime is 103020413003. The reversal of 103020413000 is 314020301.

It is a super-2 number, since 2×1030204130002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103020413003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712877 + ... + 845123.

It is an arithmetic number, because the mean of its divisors is an integer number (2030833350).

Almost surely, 2103020413000 is an apocalyptic number.

103020413000 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 103020413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129973334400).

103020413000 is an abundant number, since it is smaller than the sum of its proper divisors (156926255800).

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

103020413000 is a wasteful number, since it uses less digits than its factorization.

103020413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132328 (or 132314 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103020413000 its reverse (314020301), we get a palindrome (103334433301).

The spelling of 103020413000 in words is "one hundred three billion, twenty million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 41 50 76 82 95 100 125 152 164 190 200 205 250 328 380 410 475 500 760 779 820 950 1000 1025 1558 1640 1900 2050 2375 3116 3800 3895 4100 4750 5125 6232 7790 8200 9500 10250 15580 19000 19475 20500 31160 38950 41000 77900 97375 132247 155800 194750 264494 389500 528988 661235 779000 1057976 1322470 2512693 2644940 3306175 5025386 5289880 5422127 6612350 10050772 10844254 12563465 13224700 16530875 20101544 21688508 25126930 26449400 27110635 33061750 43377016 50253860 54221270 62817325 66123500 100507720 103020413 108442540 125634650 132247000 135553175 206040826 216885080 251269300 271106350 314086625 412081652 502538600 515102065 542212700 628173250 677765875 824163304 1030204130 1084425400 1256346500 1355531750 2060408260 2512693000 2575510325 2711063500 4120816520 5151020650 5422127000 10302041300 12877551625 20604082600 25755103250 51510206500 103020413000