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245034900100 = 22525928392
BaseRepresentation
bin1110010000110100110…
…1111101101010000100
3212102110220101122111101
43210031031331222010
513003312413300400
6304322324145444
723463123166564
oct3441515755204
9772426348441
10245034900100
1194a118a4201
123b5a5838284
131a15052c763
14bc07236da4
156591ea856a
hex390d37da84

245034900100 has 81 divisors (see below), whose sum is σ = 541536238117. Its totient is φ = 96237864160.

The previous prime is 245034900029. The next prime is 245034900157. The reversal of 245034900100 is 1009430542.

The square root of 245034900100 is 495010.

It is a perfect power (a square), and thus also a powerful number.

245034900100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 88212564036 + 156822336064 = 297006^2 + 396008^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 292055481 + ... + 292056319.

Almost surely, 2245034900100 is an apocalyptic number.

245034900100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245034900100 is the 495010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245034900100

245034900100 is an abundant number, since it is smaller than the sum of its proper divisors (296501338017).

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

245034900100 is an frugal number, since it uses more digits than its factorization.

245034900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 245034900100 in words is "two hundred forty-five billion, thirty-four million, nine hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 839 1180 1475 1678 2950 3356 3481 4195 5900 6962 8390 13924 16780 17405 20975 34810 41950 49501 69620 83900 87025 99002 174050 198004 247505 348100 495010 703921 990020 1237525 1407842 2475050 2815684 2920559 3519605 4950100 5841118 7039210 11682236 14078420 14602795 17598025 29205590 35196050 41531339 58411180 70392100 73013975 83062678 146027950 166125356 207656695 292055900 415313390 830626780 1038283475 2076566950 2450349001 4153133900 4900698002 9801396004 12251745005 24503490010 49006980020 61258725025 122517450050 245034900100