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213050251421400 = 23352438257761683
BaseRepresentation
bin110000011100010010100000…
…100011100010011011011000
31000221100101221100001021210110
4300130102200203202123120
5210411103403330441100
62033041533452244320
762606241561164031
oct6034224043423330
91027311840037713
10213050251421400
116198011679a778
121ba8a6961706a0
1391b5724b06673
143a87989905a88
151996dd51d1250
hexc1c4a08e26d8

213050251421400 has 96 divisors (see below), whose sum is σ = 675815216218560. Its totient is φ = 55492158503040.

The previous prime is 213050251421383. The next prime is 213050251421419. The reversal of 213050251421400 is 4124152050312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4128855042 + ... + 4128906641.

It is an arithmetic number, because the mean of its divisors is an integer number (7039741835610).

Almost surely, 2213050251421400 is an apocalyptic number.

213050251421400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213050251421400 is an abundant number, since it is smaller than the sum of its proper divisors (462764964797160).

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

213050251421400 is a wasteful number, since it uses less digits than its factorization.

213050251421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257761745 (or 8257761736 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 213050251421400 in words is "two hundred thirteen trillion, fifty billion, two hundred fifty-one million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 12900 25800 8257761683 16515523366 24773285049 33031046732 41288808415 49546570098 66062093464 82577616830 99093140196 123866425245 165155233660 198186280392 206444042075 247732850490 330310467320 355083752369 412888084150 495465700980 619332126225 710167504738 825776168300 990931401960 1065251257107 1238664252450 1420335009476 1651552336600 1775418761845 2130502514214 2477328504900 2840670018952 3550837523690 4261005028428 4954657009800 5326256285535 7101675047380 8522010056856 8877093809225 10652512571070 14203350094760 17754187618450 21305025142140 26631281427675 35508375236900 42610050284280 53262562855350 71016750473800 106525125710700 213050251421400