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2053030100 = 2252113773691
BaseRepresentation
bin111101001011110…
…1100000011010100
312022002010201211212
41322113230003110
513201033430400
6535415320552
7101606316332
oct17227540324
95262121755
102053030100
119639779a0
12493680158
13269453a14
14156940b52
15c038a335
hex7a5ec0d4

2053030100 has 144 divisors (see below), whose sum is σ = 5067134016. Its totient is φ = 715392000.

The previous prime is 2053030081. The next prime is 2053030103. The reversal of 2053030100 is 10303502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053030103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970755 + ... + 2971445.

Almost surely, 22053030100 is an apocalyptic number.

2053030100 is a gapful number since it is divisible by the number (20) 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 2053030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533567008).

2053030100 is an abundant number, since it is smaller than the sum of its proper divisors (3014103916).

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

2053030100 is a wasteful number, since it uses less digits than its factorization.

2053030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2053030100 is about 45310.3751915607. The cubic root of 2053030100 is about 1270.9596772234.

Adding to 2053030100 its reverse (10303502), we get a palindrome (2063333602).

The spelling of 2053030100 in words is "two billion, fifty-three million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 73 74 100 110 146 148 185 220 275 292 365 370 407 550 691 730 740 803 814 925 1100 1382 1460 1606 1628 1825 1850 2035 2701 2764 3212 3455 3650 3700 4015 4070 5402 6910 7300 7601 8030 8140 10175 10804 13505 13820 15202 16060 17275 20075 20350 25567 27010 29711 30404 34550 38005 40150 40700 50443 51134 54020 59422 67525 69100 76010 80300 100886 102268 118844 127835 135050 148555 152020 190025 201772 252215 255670 270100 281237 297110 380050 504430 511340 554873 562474 594220 639175 742775 760100 1008860 1109746 1124948 1261075 1278350 1406185 1485550 1866391 2219492 2522150 2556700 2774365 2812370 2971100 3732782 5044300 5548730 5624740 7030925 7465564 9331955 11097460 13871825 14061850 18663910 20530301 27743650 28123700 37327820 41060602 46659775 55487300 82121204 93319550 102651505 186639100 205303010 410606020 513257525 1026515050 2053030100