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201012021090 = 23457331310861
BaseRepresentation
bin1011101100110101000…
…0000000011101100010
3201012211212120200110000
42323031100000131202
511243133034133330
6232202121120430
720344156662546
oct2731520003542
9635755520400
10201012021090
1178281055671
1232b5a629116
1315c55ba7b1a
149a2c67ba26
15536722c560
hex2ecd400762

201012021090 has 160 divisors (see below), whose sum is σ = 549704182896. Its totient is φ = 52695152640.

The previous prime is 201012021053. The next prime is 201012021101. The reversal of 201012021090 is 90120210102.

It can be written as a sum of positive squares in 8 ways, for example, as 22592795481 + 178419225609 = 150309^2 + 422397^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18502260 + ... + 18513120.

Almost surely, 2201012021090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012021090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274852091448).

201012021090 is an abundant number, since it is smaller than the sum of its proper divisors (348692161806).

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

201012021090 is a wasteful number, since it uses less digits than its factorization.

201012021090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11266 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201012021090 its reverse (90120210102), we get a palindrome (291132231192).

The spelling of 201012021090 in words is "two hundred one billion, twelve million, twenty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 270 313 365 405 438 626 657 730 810 939 1095 1314 1565 1878 1971 2190 2817 3130 3285 3942 4695 5634 5913 6570 8451 9390 9855 10861 11826 14085 16902 19710 21722 22849 25353 28170 29565 32583 42255 45698 50706 54305 59130 65166 68547 84510 97749 108610 114245 126765 137094 162915 195498 205641 228490 253530 293247 325830 342735 411282 488745 586494 616923 685470 792853 879741 977490 1028205 1233846 1466235 1585706 1759482 1850769 2056410 2378559 2932470 3084615 3399493 3701538 3964265 4398705 4757118 6169230 6798986 7135677 7928530 8797410 9253845 10198479 11892795 14271354 16997465 18507690 20396958 21407031 23785590 30595437 33994930 35678385 42814062 50992395 61190874 64221093 71356770 91786311 101984790 107035155 128442186 152977185 183572622 214070310 248162989 275358933 305954370 321105465 458931555 496325978 550717866 642210930 744488967 917863110 1240814945 1376794665 1488977934 2233466901 2481629890 2753589330 3722444835 4466933802 6700400703 7444889670 11167334505 13400801406 20101202109 22334669010 33502003515 40202404218 67004007030 100506010545 201012021090