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101041442305320 = 233511296925781929
BaseRepresentation
bin10110111110010110001011…
…010001101011010100101000
3111020202110121211202012012210
4112332112023101223110220
5101220430333212232240
6554521444153405120
730166001063523666
oct2676261321532450
9436673554665183
10101041442305320
112a216487044480
12b3ba6127097a0
13444c22323572a
141ad46091cbc36
15ba34be46c780
hex5be58b46b528

101041442305320 has 128 divisors (see below), whose sum is σ = 330792474672000. Its totient is φ = 24486643937280.

The previous prime is 101041442305303. The next prime is 101041442305343. The reversal of 101041442305320 is 23503244140101.

It is a super-2 number, since 2×1010414423053202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8971885 + ... + 16810044.

It is an arithmetic number, because the mean of its divisors is an integer number (2584316208375).

Almost surely, 2101041442305320 is an apocalyptic number.

101041442305320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101041442305320 is an abundant number, since it is smaller than the sum of its proper divisors (229751032366680).

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

101041442305320 is a wasteful number, since it uses less digits than its factorization.

101041442305320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25784923 (or 25784919 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 101041442305320 its reverse (23503244140101), we get a palindrome (124544686445421).

The spelling of 101041442305320 in words is "one hundred one trillion, forty-one billion, four hundred forty-two million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2969 5938 8907 11876 14845 17814 23752 29690 32659 35628 44535 59380 65318 71256 89070 97977 118760 130636 163295 178140 195954 261272 326590 356280 391908 489885 653180 783816 979770 1306360 1959540 3919080 25781929 51563858 77345787 103127716 128909645 154691574 206255432 257819290 283601219 309383148 386728935 515638580 567202438 618766296 773457870 850803657 1031277160 1134404876 1418006095 1546915740 1701607314 2268809752 2836012190 3093831480 3403214628 4254018285 5672024380 6806429256 8508036570 11344048760 17016073140 34032146280 76546547201 153093094402 229639641603 306186188804 382732736005 459279283206 612372377608 765465472010 842012019211 918558566412 1148198208015 1530930944020 1684024038422 1837117132824 2296396416030 2526036057633 3061861888040 3368048076844 4210060096055 4592792832060 5052072115266 6736096153688 8420120192110 9185585664120 10104144230532 12630180288165 16840240384220 20208288461064 25260360576330 33680480768440 50520721152660 101041442305320