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103021133200 = 2452737874483
BaseRepresentation
bin101111111110010001…
…0011011110110010000
3100211220201102210212221
41133330202123312100
53141441402230300
6115154404230424
710304650120006
oct1377442336620
9324821383787
10103021133200
113a7668201a7
1217b7169b414
13993a6b311b
144db43a8a76
152a2e5a531a
hex17fc89bd90

103021133200 has 120 divisors (see below), whose sum is σ = 251273638688. Its totient is φ = 40583255040.

The previous prime is 103021133179. The next prime is 103021133291. The reversal of 103021133200 is 2331120301.

It is a super-2 number, since 2×1030211332002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22978159 + ... + 22982641.

Almost surely, 2103021133200 is an apocalyptic number.

103021133200 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 103021133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125636819344).

103021133200 is an abundant number, since it is smaller than the sum of its proper divisors (148252505488).

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

103021133200 is a wasteful number, since it uses less digits than its factorization.

103021133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103021133200 its reverse (2331120301), we get a palindrome (105352253501).

The spelling of 103021133200 in words is "one hundred three billion, twenty-one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 787 1168 1460 1574 1825 2920 3148 3650 3935 4483 5840 6296 7300 7870 8966 12592 14600 15740 17932 19675 22415 29200 31480 35864 39350 44830 57451 62960 71728 78700 89660 112075 114902 157400 179320 224150 229804 287255 314800 327259 358640 448300 459608 574510 654518 896600 919216 1149020 1309036 1436275 1636295 1793200 2298040 2618072 2872550 3272590 3528121 4596080 5236144 5745100 6545180 7056242 8181475 11490200 13090360 14112484 16362950 17640605 22980400 26180720 28224968 32725900 35281210 56449936 65451800 70562420 88203025 130903600 141124840 176406050 257552833 282249680 352812100 515105666 705624200 1030211332 1287764165 1411248400 2060422664 2575528330 4120845328 5151056660 6438820825 10302113320 12877641650 20604226640 25755283300 51510566600 103021133200