Search a number
-
+
201021110211000 = 23353215771310547
BaseRepresentation
bin101101101101001111011111…
…110111011101000110111000
3222100202102121210122022111010
4231231033133313131012320
5202322012213203223000
61551311453445033520
760225203336022312
oct5555173767350670
9870672553568433
10201021110211000
1159062635117212
121a6672a30b58a0
138822294c49921
14378d68b98c7b2
151839048c72d50
hexb6d3dfddd1b8

201021110211000 has 128 divisors (see below), whose sum is σ = 627190790204160. Its totient is φ = 53605208336000.

The previous prime is 201021110210993. The next prime is 201021110211073. The reversal of 201021110211000 is 112011120102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647157727 + ... + 647468273.

It is an arithmetic number, because the mean of its divisors is an integer number (4899928048470).

Almost surely, 2201021110211000 is an apocalyptic number.

201021110211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021110211000 is an abundant number, since it is smaller than the sum of its proper divisors (426169679993160).

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

201021110211000 is a wasteful number, since it uses less digits than its factorization.

201021110211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526342 (or 526328 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201021110211000 its reverse (112011120102), we get a palindrome (201133121331102).

The spelling of 201021110211000 in words is "two hundred one trillion, twenty-one billion, one hundred ten million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 215771 310547 431542 621094 647313 863084 931641 1078855 1242188 1294626 1552735 1726168 1863282 2157710 2484376 2589252 3105470 3236565 3726564 4315420 4658205 5178504 5394275 6210940 6473130 7453128 7763675 8630840 9316410 10788550 12421880 12946260 15527350 16182825 18632820 21577100 23291025 25892520 26971375 31054700 32365650 37265640 38818375 43154200 46582050 53942750 62109400 64731300 77636750 80914125 93164100 107885500 116455125 129462600 155273500 161828250 186328200 215771000 232910250 310547000 323656500 465820500 647313000 931641000 67007036737 134014073474 201021110211 268028146948 335035183685 402042220422 536056293896 670070367370 804084440844 1005105551055 1340140734740 1608168881688 1675175918425 2010211102110 2680281469480 3350351836850 4020422204220 5025527755275 6700703673700 8040844408440 8375879592125 10051055510550 13401407347400 16751759184250 20102111021100 25127638776375 33503518368500 40204222042200 50255277552750 67007036737000 100510555105500 201021110211000