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103023221004 = 223311173501271
BaseRepresentation
bin101111111110010101…
…0011001100100001100
3100211220212100212211000
41133330222121210030
53141442421033004
6115154521100300
710305003633624
oct1377452314414
9324825325730
10103023221004
113a767a16860
1217b72327690
13993ac64502
144db478d884
152a2e868c39
hex17fca9990c

103023221004 has 96 divisors (see below), whose sum is σ = 293063662080. Its totient is φ = 31038638400.

The previous prime is 103023221003. The next prime is 103023221011. The reversal of 103023221004 is 400122320301.

103023221004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030232210042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103023221003) 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, 45112 + ... + 456159.

It is an arithmetic number, because the mean of its divisors is an integer number (3052746480).

Almost surely, 2103023221004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103023221004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146531831040).

103023221004 is an abundant number, since it is smaller than the sum of its proper divisors (190040441076).

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

103023221004 is a wasteful number, since it uses less digits than its factorization.

103023221004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501468 (or 501460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103023221004 its reverse (400122320301), we get a palindrome (503145541305).

The spelling of 103023221004 in words is "one hundred three billion, twenty-three million, two hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 173 198 297 346 396 519 594 692 1038 1188 1557 1903 2076 3114 3806 4671 5709 6228 7612 9342 11418 17127 18684 22836 34254 51381 68508 102762 205524 501271 1002542 1503813 2005084 3007626 4511439 5513981 6015252 9022878 11027962 13534317 16541943 18045756 22055924 27068634 33083886 49625829 54137268 66167772 86719883 99251658 148877487 173439766 198503316 260159649 297754974 346879532 520319298 595509948 780478947 953918713 1040638596 1560957894 1907837426 2341436841 2861756139 3121915788 3815674852 4682873682 5723512278 8585268417 9365747364 11447024556 17170536834 25755805251 34341073668 51511610502 103023221004