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103100004 = 223271961353
BaseRepresentation
bin1100010010100…
…10111001100100
321012000000121200
412021102321210
5202343200004
614121442500
72361223050
oct611227144
9235000550
10103100004
1153219617
122a640430
131848a827
14d99ac60
1590b8239
hex6252e64

103100004 has 144 divisors (see below), whose sum is σ = 319562880. Its totient is φ = 27371520.

The previous prime is 103099991. The next prime is 103100029. The reversal of 103100004 is 400001301.

It is a super-2 number, since 2×1031000042 = 21259221649600032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291892 + ... + 292244.

Almost surely, 2103100004 is an apocalyptic number.

103100004 is a gapful number since it is divisible by the number (14) 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 103100004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159781440).

103100004 is an abundant number, since it is smaller than the sum of its proper divisors (216462876).

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

103100004 is a wasteful number, since it uses less digits than its factorization.

103100004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103100004 is about 10153.8172132455. The cubic root of 103100004 is about 468.9064723492.

Adding to 103100004 its reverse (400001301), we get a palindrome (503101305).

The spelling of 103100004 in words is "one hundred three million, one hundred thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 61 63 76 84 114 122 126 133 171 183 228 244 252 266 342 353 366 399 427 532 549 684 706 732 798 854 1059 1098 1159 1197 1281 1412 1596 1708 2118 2196 2318 2394 2471 2562 3177 3477 3843 4236 4636 4788 4942 5124 6354 6707 6954 7413 7686 8113 9884 10431 12708 13414 13908 14826 15372 16226 20121 20862 21533 22239 24339 26828 29652 32452 40242 41724 43066 44478 46949 48678 60363 64599 73017 80484 86132 88956 93898 97356 120726 129198 140847 146034 150731 187796 193797 241452 258396 281694 292068 301462 387594 409127 422541 452193 563388 602924 775188 818254 845082 904386 1227381 1356579 1636508 1690164 1808772 2454762 2713158 2863889 3682143 4909524 5426316 5727778 7364286 8591667 11455556 14728572 17183334 25775001 34366668 51550002 103100004