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422133130100 = 2252111918592339
BaseRepresentation
bin1100010010010010001…
…10000110001101110100
31111100121011221212122002
412021021012012031310
523404012040130400
6521531505554432
742332565255053
oct6111106061564
91440534855562
10422133130100
11153031168660
126998b645a18
1330a64c33726
14166078ba39a
15aea9a72ed5
hex6249186374

422133130100 has 144 divisors (see below), whose sum is σ = 1006135603200. Its totient is φ = 152456304000.

The previous prime is 422133130037. The next prime is 422133130147. The reversal of 422133130100 is 1031331224.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180474731 + ... + 180477069.

It is an arithmetic number, because the mean of its divisors is an integer number (6987052800).

Almost surely, 2422133130100 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 422133130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503067801600).

422133130100 is an abundant number, since it is smaller than the sum of its proper divisors (584002473100).

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

422133130100 is a wasteful number, since it uses less digits than its factorization.

422133130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 422133130100 its reverse (1031331224), we get a palindrome (423164461324).

The spelling of 422133130100 in words is "four hundred twenty-two billion, one hundred thirty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 191 220 275 382 550 764 859 955 1100 1718 1910 2101 2339 3436 3820 4202 4295 4678 4775 8404 8590 9356 9449 9550 10505 11695 17180 18898 19100 21010 21475 23390 25729 37796 42020 42950 46780 47245 51458 52525 58475 85900 94490 102916 105050 116950 128645 164069 188980 210100 233900 236225 257290 328138 446749 472450 514580 643225 656276 820345 893498 944900 1286450 1640690 1786996 1804759 2009201 2233745 2572900 3281380 3609518 4018402 4101725 4467490 4914239 7219036 8036804 8203450 8934980 9023795 9828478 10046005 11168725 16406900 18047590 19656956 20092010 22101211 22337450 24571195 36095180 40184020 44202422 44674900 45118975 49142390 50230025 88404844 90237950 98284780 100460050 110506055 122855975 180475900 200920100 221012110 245711950 383757391 442024220 491423900 552530275 767514782 1105060550 1535029564 1918786955 2210121100 3837573910 4221331301 7675147820 8442662602 9593934775 16885325204 19187869550 21106656505 38375739100 42213313010 84426626020 105533282525 211066565050 422133130100