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10020010211100 = 22335235527104459
BaseRepresentation
bin1001000111001111011100…
…1001100011011100011100
31022110220101201222022002000
42101303313021203130130
52303131440103223400
633151043521202300
72052631123340211
oct221636711433434
938426351868060
1010020010211100
11321350a5a786a
121159b41190390
13578b62999b16
14268d84911b08
1512599ba29600
hex91cf726371c

10020010211100 has 144 divisors (see below), whose sum is σ = 32213692358400. Its totient is φ = 2671901933760.

The previous prime is 10020010211047. The next prime is 10020010211111. The reversal of 10020010211100 is 111201002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 95870671 + ... + 95975129.

Almost surely, 210020010211100 is an apocalyptic number.

10020010211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020010211100 is an abundant number, since it is smaller than the sum of its proper divisors (22193682147300).

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

10020010211100 is a wasteful number, since it uses less digits than its factorization.

10020010211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140009 (or 139996 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020010211100 its reverse (111201002001), we get a palindrome (10131211213101).

The spelling of 10020010211100 in words is "ten trillion, twenty billion, ten million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 35527 71054 104459 106581 142108 177635 208918 213162 313377 319743 355270 417836 426324 522295 532905 626754 639486 710540 888175 940131 959229 1044590 1065810 1253508 1278972 1566885 1598715 1776350 1880262 1918458 2089180 2131620 2611475 2664525 2820393 3133770 3197430 3552700 3760524 3836916 4700655 4796145 5222950 5329050 5640786 6267540 6394860 7834425 7993575 9401310 9592290 10445900 10658100 11281572 14101965 15668850 15987150 18802620 19184580 23503275 23980725 28203930 31337700 31974300 47006550 47961450 56407860 70509825 94013100 95922900 141019650 282039300 3711114893 7422229786 11133344679 14844459572 18555574465 22266689358 33400034037 37111148930 44533378716 55666723395 66800068074 74222297860 92777872325 100200102111 111333446790 133600136148 167000170185 185555744650 200400204222 222666893580 278333616975 334000340370 371111489300 400800408444 501000510555 556667233950 668000680740 835000850925 1002001021110 1113334467900 1670001701850 2004002042220 2505002552775 3340003403700 5010005105550 10020010211100