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1901212128 = 25339532309
BaseRepresentation
bin111000101010010…
…0011000111100000
311220111110120202000
41301110203013200
512343202242003
6512353324000
765054015334
oct16124430740
94814416660
101901212128
118962038a2
12450866600
13243b694ba
141407017c4
15b1d9c1a3
hex715231e0

1901212128 has 96 divisors (see below), whose sum is σ = 5553424800. Its totient is φ = 632798208.

The previous prime is 1901212121. The next prime is 1901212129. The reversal of 1901212128 is 8212121091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19012121282 = 7229215111308576768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822238 + ... + 824546.

It is an arithmetic number, because the mean of its divisors is an integer number (57848175).

Almost surely, 21901212128 is an apocalyptic number.

1901212128 is a gapful number since it is divisible by the number (18) 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 1901212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776712400).

1901212128 is an abundant number, since it is smaller than the sum of its proper divisors (3652212672).

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

1901212128 is a wasteful number, since it uses less digits than its factorization.

1901212128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1901212128 is about 43602.8912802809. The cubic root of 1901212128 is about 1238.8256589172.

The spelling of 1901212128 in words is "one billion, nine hundred one million, two hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 953 1906 2309 2859 3812 4618 5718 6927 7624 8577 9236 11436 13854 15248 17154 18472 20781 22872 25731 27708 30496 34308 36944 41562 45744 51462 55416 62343 68616 73888 83124 91488 102924 110832 124686 137232 166248 205848 221664 249372 274464 332496 411696 498744 664992 823392 997488 1994976 2200477 4400954 6601431 8801908 13202862 17603816 19804293 26405724 35207632 39608586 52811448 59412879 70415264 79217172 105622896 118825758 158434344 211245792 237651516 316868688 475303032 633737376 950606064 1901212128