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100234242234 = 23371381192013
BaseRepresentation
bin101110101011001101…
…1010010100010111010
3100120201111102002012000
41131112123102202322
53120234431222414
6114014051401430
710145620000320
oct1352633224272
9316644362160
10100234242234
1139566686825
12175142b3276
1395b51c5909
144bcc1d7d10
152919aa9b09
hex17566d28ba

100234242234 has 64 divisors (see below), whose sum is σ = 254748814080. Its totient is φ = 28617468480.

The previous prime is 100234242223. The next prime is 100234242263. The reversal of 100234242234 is 432242432001.

100234242234 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 424 + 2 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100234242198 and 100234242207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426012 + ... + 618024.

It is an arithmetic number, because the mean of its divisors is an integer number (3980450220).

Almost surely, 2100234242234 is an apocalyptic number.

100234242234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100234242234 is an abundant number, since it is smaller than the sum of its proper divisors (154514571846).

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

100234242234 is a wasteful number, since it uses less digits than its factorization.

100234242234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193412 (or 193406 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 100234242234 its reverse (432242432001), we get a palindrome (532476674235).

The spelling of 100234242234 in words is "one hundred billion, two hundred thirty-four million, two hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1381 2762 4143 8286 9667 12429 19334 24858 29001 37287 58002 74574 87003 174006 192013 261009 384026 522018 576039 1152078 1344091 1728117 2688182 3456234 4032273 5184351 8064546 10368702 12096819 24193638 36290457 72580914 265169953 530339906 795509859 1591019718 1856189671 2386529577 3712379342 4773059154 5568569013 7159588731 11137138026 14319177462 16705707039 33411414078 50117121117 100234242234