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421101111300 = 2235243131249187
BaseRepresentation
bin1100010000010111001…
…01010000100000000100
31111020221021000212222120
412020023211100200010
523344403341030200
6521241242125540
742265164246642
oct6101345204004
91436837025876
10421101111300
11152651665661
1269741ab08b0
133092c19570c
141654a7d6192
15ae491699a0
hex620b950804

421101111300 has 144 divisors (see below), whose sum is σ = 1256242428672. Its totient is φ = 108844444800.

The previous prime is 421101111259. The next prime is 421101111307. The reversal of 421101111300 is 3111101124.

It is a super-3 number, since 3×4211011113003 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 421101111300.

It is not an unprimeable number, because it can be changed into a prime (421101111307) 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, 1565307 + ... + 1814493.

Almost surely, 2421101111300 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 421101111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628121214336).

421101111300 is an abundant number, since it is smaller than the sum of its proper divisors (835141317372).

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

421101111300 is a wasteful number, since it uses less digits than its factorization.

421101111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249378 (or 249371 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 421101111300 its reverse (3111101124), we get a palindrome (424212212424).

The spelling of 421101111300 in words is "four hundred twenty-one billion, one hundred one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 131 150 172 215 258 262 300 393 430 516 524 645 655 786 860 1075 1290 1310 1572 1965 2150 2580 2620 3225 3275 3930 4300 5633 6450 6550 7860 9825 11266 12900 13100 16899 19650 22532 28165 33798 39300 56330 67596 84495 112660 140825 168990 249187 281650 337980 422475 498374 563300 747561 844950 996748 1245935 1495122 1689900 2491870 2990244 3737805 4983740 6229675 7475610 10715041 12459350 14951220 18689025 21430082 24918700 32145123 32643497 37378050 42860164 53575205 64290246 65286994 74756100 97930491 107150410 128580492 130573988 160725615 163217485 195860982 214300820 267876025 321451230 326434970 391721964 489652455 535752050 642902460 652869940 803628075 816087425 979304910 1071504100 1403670371 1607256150 1632174850 1958609820 2448262275 2807340742 3214512300 3264349700 4211011113 4896524550 5614681484 7018351855 8422022226 9793049100 14036703710 16844044452 21055055565 28073407420 35091759275 42110111130 70183518550 84220222260 105275277825 140367037100 210550555650 421101111300