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211112002000 = 24531913142409
BaseRepresentation
bin1100010010011101000…
…0011000000111010000
3202011220202110212121001
43010213100120013100
511424324133031000
6240552234511344
721152360260204
oct3044720300720
9664822425531
10211112002000
1181594248829
1234ab8b95554
1316ba55001a3
14a309bc8b04
155758c8946a
hex31274181d0

211112002000 has 160 divisors (see below), whose sum is σ = 541450166400. Its totient is φ = 79387776000.

The previous prime is 211112001983. The next prime is 211112002007. The reversal of 211112002000 is 200211112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4956796 + ... + 4999204.

It is an arithmetic number, because the mean of its divisors is an integer number (3384063540).

Almost surely, 2211112002000 is an apocalyptic number.

211112002000 is a gapful number since it is divisible by the number (20) 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 211112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270725083200).

211112002000 is an abundant number, since it is smaller than the sum of its proper divisors (330338164400).

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

211112002000 is a wasteful number, since it uses less digits than its factorization.

211112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42582 (or 42566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211112002000 its reverse (200211112), we get a palindrome (211312213112).

The spelling of 211112002000 in words is "two hundred eleven billion, one hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 131 152 190 200 250 262 304 380 400 475 500 524 655 760 950 1000 1048 1310 1520 1900 2000 2096 2375 2489 2620 3275 3800 4750 4978 5240 6550 7600 9500 9956 10480 12445 13100 16375 19000 19912 24890 26200 32750 38000 39824 42409 49780 52400 62225 65500 84818 99560 124450 131000 169636 199120 212045 248900 262000 311125 339272 424090 497800 622250 678544 805771 848180 995600 1060225 1244500 1611542 1696360 2120450 2489000 3223084 3392720 4028855 4240900 4978000 5301125 5555579 6446168 8057710 8481800 10602250 11111158 12892336 16115420 16963600 20144275 21204500 22222316 27777895 32230840 40288550 42409000 44444632 55555790 64461680 80577100 84818000 88889264 100721375 105556001 111111580 138889475 161154200 201442750 211112002 222223160 277778950 322308400 402885500 422224004 444446320 527780005 555557900 694447375 805771000 844448008 1055560010 1111115800 1388894750 1611542000 1688896016 2111120020 2222231600 2638900025 2777789500 4222240040 5277800050 5555579000 8444480080 10555600100 11111158000 13194500125 21111200200 26389000250 42222400400 52778000500 105556001000 211112002000