Search a number
-
+
10100233320320 = 2751113110360941
BaseRepresentation
bin1001001011111010010011…
…0100011011011110000000
31022202120110121220111101102
42102332210310123132000
52310440234212222240
633251552204553532
72061501124455053
oct222764464333600
938676417814342
1010100233320320
113244537440130
1211715ab8528a8
135835a90ba610
1426cbd5166a9a
15127ae48b9815
hex92fa4d1b780

10100233320320 has 128 divisors (see below), whose sum is σ = 28367176531680. Its totient is φ = 3390288076800.

The previous prime is 10100233320271. The next prime is 10100233320323. The reversal of 10100233320320 is 2302333200101.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 10100233320292 and 10100233320301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100233320323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55088951 + ... + 55271990.

Almost surely, 210100233320320 is an apocalyptic number.

10100233320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100233320320 is an abundant number, since it is smaller than the sum of its proper divisors (18266943211360).

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

10100233320320 is a wasteful number, since it uses less digits than its factorization.

10100233320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110360984 (or 110360972 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10100233320320 its reverse (2302333200101), we get a palindrome (12402566520421).

The spelling of 10100233320320 in words is "ten trillion, one hundred billion, two hundred thirty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 8320 9152 11440 18304 22880 45760 91520 110360941 220721882 441443764 551804705 882887528 1103609410 1213970351 1434692233 1765775056 2207218820 2427940702 2869384466 3531550112 4414437640 4855881404 5738768932 6069851755 7063100224 7173461165 8828875280 9711762808 11477537864 12139703510 14126200448 14346922330 15781614563 17657750560 19423525616 22955075728 24279407020 28693844660 31563229126 35315501120 38847051232 45910151456 48558814040 57387689320 63126458252 70631002240 77694102464 78908072815 91820302912 97117628080 114775378640 126252916504 155388204928 157816145630 183640605824 194235256160 229550757280 252505833008 315632291260 388470512320 459101514560 505011666016 631264582520 776941024640 918203029120 1010023332032 1262529165040 2020046664064 2525058330080 5050116660160 10100233320320