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100305045100 = 225213194060933
BaseRepresentation
bin101110101101010100…
…1011000011001101100
3100120220102122020110101
41131122221120121230
53120411042420400
6114025101120444
710150436546551
oct1353251303154
9316812566411
10100305045100
11395a2645a97
1217533b59124
1395c6a859c0
144bd7788a28
152920de356a
hex175aa5866c

100305045100 has 72 divisors (see below), whose sum is σ = 246742349840. Its totient is φ = 35086452480.

The previous prime is 100305045097. The next prime is 100305045103. The reversal of 100305045100 is 1540503001.

It is an interprime number because it is at equal distance from previous prime (100305045097) and next prime (100305045103).

It is a super-2 number, since 2×1003050451002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (100305045103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2005767 + ... + 2055166.

Almost surely, 2100305045100 is an apocalyptic number.

100305045100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100305045100 is an abundant number, since it is smaller than the sum of its proper divisors (146437304740).

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

100305045100 is a wasteful number, since it uses less digits than its factorization.

100305045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060979 (or 4060972 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 100305045100 its reverse (1540503001), we get a palindrome (101845548101).

The spelling of 100305045100 in words is "one hundred billion, three hundred five million, forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 24700 4060933 8121866 16243732 20304665 40609330 52792129 77157727 81218660 101523325 105584258 154315454 203046650 211168516 263960645 308630908 385788635 406093300 527921290 771577270 1003050451 1055842580 1319803225 1543154540 1928943175 2006100902 2639606450 3857886350 4012201804 5015252255 5279212900 7715772700 10030504510 20061009020 25076261275 50152522550 100305045100