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145213403100 = 22352736630749
BaseRepresentation
bin1000011100111101100…
…1001010111111011100
3111212211011122012022220
42013033121022333130
54334344112344400
6150413215105340
713330344363153
oct2071731127734
9455734565286
10145213403100
11566481a9047
1224187812250
13109029bb6bc
147057ba059a
153b9d77d7a0
hex21cf64afdc

145213403100 has 72 divisors (see below), whose sum is σ = 425906334000. Its totient is φ = 38193108480.

The previous prime is 145213403077. The next prime is 145213403123. The reversal of 145213403100 is 1304312541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145213403077) and next prime (145213403123).

It is a super-2 number, since 2×1452134031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3293475 + ... + 3337274.

It is an arithmetic number, because the mean of its divisors is an integer number (5915365750).

Almost surely, 2145213403100 is an apocalyptic number.

145213403100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145213403100 is an abundant number, since it is smaller than the sum of its proper divisors (280692930900).

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

145213403100 is a wasteful number, since it uses less digits than its factorization.

145213403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6630839 (or 6630832 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 145213403100 its reverse (1304312541), we get a palindrome (146517715641).

The spelling of 145213403100 in words is "one hundred forty-five billion, two hundred thirteen million, four hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 6630749 13261498 19892247 26522996 33153745 39784494 66307490 79568988 99461235 132614980 165768725 198922470 331537450 397844940 484044677 497306175 663074900 968089354 994612350 1452134031 1936178708 1989224700 2420223385 2904268062 4840446770 5808536124 7260670155 9680893540 12101116925 14521340310 24202233850 29042680620 36303350775 48404467700 72606701550 145213403100