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101334187404268 = 227131993893596267
BaseRepresentation
bin10111000010100110110100…
…001111100110101111101100
3111021210110020202022001122221
4113002212310033212233230
5101240224403433414033
6555304141045045124
730226103426023330
oct2702466417465754
9437713222261587
10101334187404268
112a319651016185
12b4472b23b67a4
134470a07cc0c80
141b0485a9bd7c0
15baae04c6112d
hex5c29b43e6bec

101334187404268 has 96 divisors (see below), whose sum is σ = 219918980736000. Its totient is φ = 39784253642496.

The previous prime is 101334187404211. The next prime is 101334187404277. The reversal of 101334187404268 is 862404781433101.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 26379471 + ... + 29975737.

It is an arithmetic number, because the mean of its divisors is an integer number (2290822716000).

Almost surely, 2101334187404268 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 101334187404268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109959490368000).

101334187404268 is an abundant number, since it is smaller than the sum of its proper divisors (118584793331732).

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

101334187404268 is a wasteful number, since it uses less digits than its factorization.

101334187404268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596879 (or 3596877 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 101334187404268 in words is "one hundred one trillion, three hundred thirty-four billion, one hundred eighty-seven million, four hundred four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 199 364 389 398 778 796 1393 1556 2587 2723 2786 5057 5174 5446 5572 10114 10348 10892 18109 20228 35399 36218 70798 72436 77411 141596 154822 309644 541877 1006343 1083754 2012686 2167508 3596267 4025372 7044401 7192534 14088802 14385068 25173869 28177604 46751471 50347738 93502942 100695476 187005884 327260297 654520594 715657133 1309041188 1398947863 1431314266 2797895726 2862628532 5009599931 5595791452 9303542729 9792635041 10019199862 18186322219 18607085458 19585270082 20038399724 36372644438 37214170916 39170540164 65124799103 72745288876 127304255533 130249598206 254608511066 260499196412 278390624737 509217022132 556781249474 1113562498948 1948734373159 3619078121581 3897468746318 7238156243162 7794937492636 14476312486324 25333546851067 50667093702134 101334187404268