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103221221010 = 235173722923887
BaseRepresentation
bin110000000100001110…
…1101101011010010010
3100212102122221022202120
41200020131231122102
53142344113033020
6115230312555110
710312626621255
oct1401035553222
9325378838676
10103221221010
113a859763126
12180086b2a96
13996cc9b38b
144dd2bb109c
152a41e2a740
hex180876d692

103221221010 has 128 divisors (see below), whose sum is σ = 270580331520. Its totient is φ = 25095204864.

The previous prime is 103221220981. The next prime is 103221221053. The reversal of 103221221010 is 10122122301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4309287 + ... + 4333173.

It is an arithmetic number, because the mean of its divisors is an integer number (2113908840).

Almost surely, 2103221221010 is an apocalyptic number.

103221221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103221221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135290165760).

103221221010 is an abundant number, since it is smaller than the sum of its proper divisors (167359110510).

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

103221221010 is a wasteful number, since it uses less digits than its factorization.

103221221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24180.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103221221010 its reverse (10122122301), we get a palindrome (113343343311).

The spelling of 103221221010 in words is "one hundred three billion, two hundred twenty-one million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 229 255 370 458 510 555 629 687 1110 1145 1258 1374 1887 2290 3145 3435 3774 3893 6290 6870 7786 8473 9435 11679 16946 18870 19465 23358 23887 25419 38930 42365 47774 50838 58395 71661 84730 116790 119435 127095 143322 144041 238870 254190 288082 358305 406079 432123 716610 720205 812158 864246 883819 1218237 1440410 1767638 2030395 2160615 2436474 2651457 4060790 4321230 4419095 5302914 5470123 6091185 8838190 10940246 12182370 13257285 15024923 16410369 26514570 27350615 30049846 32820738 45074769 54701230 75124615 82051845 90149538 92992091 150249230 164103690 185984182 202394551 225373845 278976273 404789102 450747690 464960455 557952546 607183653 929920910 1011972755 1214367306 1394881365 2023945510 2789762730 3035918265 3440707367 6071836530 6881414734 10322122101 17203536835 20644244202 34407073670 51610610505 103221221010