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100214012150780 = 225113122851166259
BaseRepresentation
bin10110110010010011100100…
…100110001000001111111100
3111010211100212210221020002112
4112302103210212020033330
5101113401244102311110
6553045403121513152
730052136433332633
oct2662234446101774
9433740783836075
10100214012150780
1129a27584315680
12b2a6191aa27b8
1343bc1aa4397a8
141aa6553c5051a
15b8bbe2e77405
hex5b24e49883fc

100214012150780 has 144 divisors (see below), whose sum is σ = 237310569901440. Its totient is φ = 35253346320000.

The previous prime is 100214012150741. The next prime is 100214012150797. The reversal of 100214012150780 is 87051210412001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602675291 + ... + 602841549.

It is an arithmetic number, because the mean of its divisors is an integer number (1647990068760).

Almost surely, 2100214012150780 is an apocalyptic number.

100214012150780 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 100214012150780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118655284950720).

100214012150780 is an abundant number, since it is smaller than the sum of its proper divisors (137096557750660).

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

100214012150780 is a wasteful number, since it uses less digits than its factorization.

100214012150780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169192 (or 169159 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

Adding to 100214012150780 its reverse (87051210412001), we get a palindrome (187265222562781).

The spelling of 100214012150780 in words is "one hundred trillion, two hundred fourteen billion, twelve million, one hundred fifty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 961 1364 1705 1922 2851 3410 3844 4805 5702 6820 9610 10571 11404 14255 19220 21142 28510 31361 42284 52855 57020 62722 88381 105710 125444 156805 166259 176762 211420 313610 332518 353524 441905 627220 665036 831295 883810 972191 1662590 1767620 1828849 1944382 2739811 3325180 3657698 3888764 4860955 5154029 5479622 7315396 9144245 9721910 10308058 10959244 13699055 18288490 19443820 20616116 25770145 27398110 30137921 36576980 51540290 54796220 56694319 60275842 103080580 113388638 120551684 150689605 159774899 226777276 283471595 301379210 319549798 474004409 566943190 602758420 639099596 798874495 948008818 1133886380 1597748990 1757523889 1896017636 2370022045 3195497980 3515047778 4740044090 5214048499 7030095556 8787619445 9480088180 10428096998 14694136679 17575238890 20856193996 26070242495 29388273358 35150477780 52140484990 58776546716 73470683395 104280969980 146941366790 161635503469 293882733580 323271006938 455518237049 646542013876 808177517345 911036474098 1616355034690 1822072948196 2277591185245 3232710069380 4555182370490 5010700607539 9110364740980 10021401215078 20042802430156 25053503037695 50107006075390 100214012150780