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101141332022144 = 2737109673194723
BaseRepresentation
bin10110111111110011001101…
…001010101101001110000000
3111021010000110022212120101102
4112333303031022231032000
5101224044421444202034
6555035404140553532
730206135331231131
oct2677631512551600
9437100408776342
10101141332022144
112a2548861a5157
12b415a4b5528a8
134458781c40c4b
141ad93a3741c88
15ba5db8b7097e
hex5bfccd2ad380

101141332022144 has 64 divisors (see below), whose sum is σ = 206941190167440. Its totient is φ = 49203189927936.

The previous prime is 101141332022123. The next prime is 101141332022243. The reversal of 101141332022144 is 441220233141101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519313967 + ... + 519508689.

Almost surely, 2101141332022144 is an apocalyptic number.

It is an amenable number.

101141332022144 is an abundant number, since it is smaller than the sum of its proper divisors (105799858145296).

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

101141332022144 is a wasteful number, since it uses less digits than its factorization.

101141332022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304447 (or 304435 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 101141332022144 its reverse (441220233141101), we get a palindrome (542361565163245).

The spelling of 101141332022144 in words is "one hundred one trillion, one hundred forty-one billion, three hundred thirty-two million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 109673 194723 219346 389446 438692 778892 877384 1557784 1754768 3115568 3509536 4057901 6231136 7019072 7204751 8115802 12462272 14038144 14409502 16231604 24924544 28819004 32463208 57638008 64926416 115276016 129852832 230552032 259705664 461104064 519411328 922208128 21355855579 42711711158 85423422316 170846844632 341693689264 683387378528 790166656423 1366774757056 1580333312846 2733549514112 3160666625692 6321333251384 12642666502768 25285333005536 50570666011072 101141332022144