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4123212500 = 225511157191
BaseRepresentation
bin1111010111000011…
…0011101011010100
3101122100112220020002
43311300303223110
531421020300000
61521050430432
7204114504461
oct36560635324
911570486202
104123212500
11182649a640
12970a32418
13509301914
142b1868668
15191eb28d5
hexf5c33ad4

4123212500 has 144 divisors (see below), whose sum is σ = 9953362944. Its totient is φ = 1482000000.

The previous prime is 4123212491. The next prime is 4123212517. The reversal of 4123212500 is 52123214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 21587405 + ... + 21587595.

It is an arithmetic number, because the mean of its divisors is an integer number (69120576).

Almost surely, 24123212500 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 4123212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976681472).

4123212500 is an abundant number, since it is smaller than the sum of its proper divisors (5830150444).

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

4123212500 is a wasteful number, since it uses less digits than its factorization.

4123212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4123212500 is about 64212.2457168413. The cubic root of 4123212500 is about 1603.5354762714.

Adding to 4123212500 its reverse (52123214), we get a palindrome (4175335714).

The spelling of 4123212500 in words is "four billion, one hundred twenty-three million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 157 191 220 250 275 314 382 500 550 625 628 764 785 955 1100 1250 1375 1570 1727 1910 2101 2500 2750 3125 3140 3454 3820 3925 4202 4775 5500 6250 6875 6908 7850 8404 8635 9550 10505 12500 13750 15700 17270 19100 19625 21010 23875 27500 29987 34375 34540 39250 42020 43175 47750 52525 59974 68750 78500 86350 95500 98125 105050 119375 119948 137500 149935 172700 196250 210100 215875 238750 262625 299870 329857 392500 431750 477500 490625 525250 596875 599740 659714 749675 863500 981250 1050500 1079375 1193750 1313125 1319428 1499350 1649285 1962500 2158750 2387500 2626250 2998700 3298570 3748375 4317500 5252500 5396875 6565625 6597140 7496750 8246425 10793750 13131250 14993500 16492850 18741875 21587500 26262500 32985700 37483750 41232125 74967500 82464250 93709375 164928500 187418750 206160625 374837500 412321250 824642500 1030803125 2061606250 4123212500