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103016200404 = 223132109466027
BaseRepresentation
bin101111111110000111…
…1100111100011010100
3100211220101011012100210
41133330033213203110
53141434121403104
6115154110405420
710304560153455
oct1377417474324
9324811135323
10103016200404
113a763a61107
1217b6bb00870
139939676b00
144db388312c
152a2de2d989
hex17fc3e78d4

103016200404 has 72 divisors (see below), whose sum is σ = 262672021920. Its totient is φ = 31406424192.

The previous prime is 103016200369. The next prime is 103016200411. The reversal of 103016200404 is 404002610301.

It is a super-2 number, since 2×1030162004042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11962 + ... + 454065.

Almost surely, 2103016200404 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 103016200404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131336010960).

103016200404 is an abundant number, since it is smaller than the sum of its proper divisors (159655821516).

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

103016200404 is a wasteful number, since it uses less digits than its factorization.

103016200404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466169 (or 466154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103016200404 its reverse (404002610301), we get a palindrome (507018810705).

The spelling of 103016200404 in words is "one hundred three billion, sixteen million, two hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 169 218 327 338 436 507 654 676 1014 1308 1417 2028 2834 4251 5668 8502 17004 18421 36842 55263 73684 110526 221052 466027 932054 1398081 1864108 2796162 5592324 6058351 12116702 18175053 24233404 36350106 50796943 72700212 78758563 101593886 152390829 157517126 203187772 236275689 304781658 315034252 472551378 609563316 660360259 945102756 1320720518 1981080777 2641441036 3962161554 7924323108 8584683367 17169366734 25754050101 34338733468 51508100202 103016200404