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5214125100 = 22352371134157
BaseRepresentation
bin1001101101100100…
…10011110000101100
3111110101021222222110
410312302103300230
541134304000400
62221220444020
7243132221622
oct46662236054
914411258873
105214125100
1122362683a8
121016249610
13651320232
143766bd512
15207b50e50
hex136c93c2c

5214125100 has 144 divisors (see below), whose sum is σ = 15634811808. Its totient is φ = 1340559360.

The previous prime is 5214125071. The next prime is 5214125113. The reversal of 5214125100 is 15214125.

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, 1252222 + ... + 1256378.

It is an arithmetic number, because the mean of its divisors is an integer number (108575082).

Almost surely, 25214125100 is an apocalyptic number.

5214125100 is a gapful number since it is divisible by the number (50) 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 5214125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817405904).

5214125100 is an abundant number, since it is smaller than the sum of its proper divisors (10420686708).

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

5214125100 is a wasteful number, since it uses less digits than its factorization.

5214125100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5214125100 is about 72208.8990360606. The cubic root of 5214125100 is about 1734.0454737313.

Adding to 5214125100 its reverse (15214125), we get a palindrome (5229339225).

The spelling of 5214125100 in words is "five billion, two hundred fourteen million, one hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 113 148 150 185 222 226 300 339 370 444 452 555 565 678 740 925 1110 1130 1356 1695 1850 2220 2260 2775 2825 3390 3700 4157 4181 5550 5650 6780 8314 8362 8475 11100 11300 12471 12543 16628 16724 16950 20785 20905 24942 25086 33900 41570 41810 49884 50172 62355 62715 83140 83620 103925 104525 124710 125430 153809 207850 209050 249420 250860 307618 311775 313575 415700 418100 461427 469741 615236 623550 627150 769045 922854 939482 1247100 1254300 1409223 1538090 1845708 1878964 2307135 2348705 2818446 3076180 3845225 4614270 4697410 5636892 7046115 7690450 9228540 9394820 11535675 11743525 14092230 15380900 17380417 23071350 23487050 28184460 34760834 35230575 46142700 46974100 52141251 69521668 70461150 86902085 104282502 140922300 173804170 208565004 260706255 347608340 434510425 521412510 869020850 1042825020 1303531275 1738041700 2607062550 5214125100