Search a number
-
+
106394714700 = 2235210916719483
BaseRepresentation
bin110001100010110011…
…1101000001001001100
3101011121211102111200220
41203011213220021030
53220344021332300
6120513235551340
710454363103411
oct1430547501114
9334554374626
10106394714700
114113805198a
121875345b550
13a0575b91b1
14521445a108
152b7a83eda0
hex18c59e824c

106394714700 has 144 divisors (see below), whose sum is σ = 312535829760. Its totient is φ = 27941863680.

The previous prime is 106394714663. The next prime is 106394714753. The reversal of 106394714700 is 7417493601.

It is a super-2 number, since 2×1063947147002 (a number of 23 digits) contains 22 as substring.

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, 5451159 + ... + 5470641.

Almost surely, 2106394714700 is an apocalyptic number.

106394714700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106394714700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156267914880).

106394714700 is an abundant number, since it is smaller than the sum of its proper divisors (206141115060).

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

106394714700 is a wasteful number, since it uses less digits than its factorization.

106394714700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19776 (or 19769 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 106394714700 in words is "one hundred six billion, three hundred ninety-four million, seven hundred fourteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 167 218 300 327 334 436 501 545 654 668 835 1002 1090 1308 1635 1670 2004 2180 2505 2725 3270 3340 4175 5010 5450 6540 8175 8350 10020 10900 12525 16350 16700 18203 19483 25050 32700 36406 38966 50100 54609 58449 72812 77932 91015 97415 109218 116898 182030 194830 218436 233796 273045 292245 364060 389660 455075 487075 546090 584490 910150 974150 1092180 1168980 1365225 1461225 1820300 1948300 2123647 2730450 2922450 3253661 4247294 5460900 5844900 6370941 6507322 8494588 9760983 10618235 12741882 13014644 16268305 19521966 21236470 25483764 31854705 32536610 39043932 42472940 48804915 53091175 63709410 65073220 81341525 97609830 106182350 127418820 159273525 162683050 195219660 212364700 244024575 318547050 325366100 354649049 488049150 637094100 709298098 976098300 1063947147 1418596196 1773245245 2127894294 3546490490 4255788588 5319735735 7092980980 8866226225 10639471470 17732452450 21278942940 26598678675 35464904900 53197357350 106394714700