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21111002000 = 2453116115731
BaseRepresentation
bin10011101010010100…
…000101001110010000
32000111021002000110222
4103222110011032100
5321213404031000
613410454012212
71345102361534
oct235224051620
960437060428
1021111002000
118a536792a0
124112047068
131cb590b27a
141043a89bc4
15838576a85
hex4ea505390

21111002000 has 160 divisors (see below), whose sum is σ = 56603484288. Its totient is φ = 7550400000.

The previous prime is 21111001993. The next prime is 21111002039. The reversal of 21111002000 is 20011112.

Adding to 21111002000 its reverse (20011112), we get a palindrome (21131013112).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334135 + ... + 1349865.

Almost surely, 221111002000 is an apocalyptic number.

21111002000 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 21111002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28301742144).

21111002000 is an abundant number, since it is smaller than the sum of its proper divisors (35492482288).

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

21111002000 is a wasteful number, since it uses less digits than its factorization.

21111002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15826 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The spelling of 21111002000 in words is "twenty-one billion, one hundred eleven million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 125 176 200 220 244 250 275 305 400 440 488 500 550 610 671 880 976 1000 1100 1220 1342 1375 1525 2000 2200 2440 2684 2750 3050 3355 4400 4880 5368 5500 6100 6710 7625 10736 11000 12200 13420 15250 15731 16775 22000 24400 26840 30500 31462 33550 53680 61000 62924 67100 78655 83875 122000 125848 134200 157310 167750 173041 251696 268400 314620 335500 346082 393275 629240 671000 692164 786550 865205 959591 1258480 1342000 1384328 1573100 1730410 1919182 1966375 2768656 3146200 3460820 3838364 3932750 4326025 4797955 6292400 6921640 7676728 7865500 8652050 9595910 10555501 13843280 15353456 15731000 17304100 19191820 21111002 21630125 23989775 31462000 34608200 38383640 42222004 43260250 47979550 52777505 69216400 76767280 84444008 86520500 95959100 105555010 119948875 168888016 173041000 191918200 211110020 239897750 263887525 346082000 383836400 422220040 479795500 527775050 844440080 959591000 1055550100 1319437625 1919182000 2111100200 2638875250 4222200400 5277750500 10555501000 21111002000