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21202000000 = 275610601
BaseRepresentation
bin10011101111101111…
…001101100010000000
32000201121022012021021
4103233233031202000
5321410203000000
613423504235224
71350256012036
oct235757154200
960647265237
1021202000000
118a9aa81455
12413860bb14
131ccb71c53c
141051bb6556
1584154e11a
hex4efbcd880

21202000000 has 112 divisors (see below), whose sum is σ = 52802253810. Its totient is φ = 8480000000.

The previous prime is 21201999977. The next prime is 21202000009. The reversal of 21202000000 is 20212.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 7181545536 + 14020454464 = 84744^2 + 118408^2 .

It is not an unprimeable number, because it can be changed into a prime (21202000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1994700 + ... + 2005300.

Almost surely, 221202000000 is an apocalyptic number.

21202000000 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 21202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26401126905).

21202000000 is an abundant number, since it is smaller than the sum of its proper divisors (31600253810).

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

21202000000 is an frugal number, since it uses more digits than its factorization.

21202000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 21202000000 its reverse (20212), we get a palindrome (21202020212).

The spelling of 21202000000 in words is "twenty-one billion, two hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 10601 12500 15625 16000 20000 21202 25000 31250 40000 42404 50000 53005 62500 80000 84808 100000 106010 125000 169616 200000 212020 250000 265025 339232 400000 424040 500000 530050 678464 848080 1000000 1060100 1325125 1356928 1696160 2000000 2120200 2650250 3392320 4240400 5300500 6625625 6784640 8480800 10601000 13251250 16961600 21202000 26502500 33128125 33923200 42404000 53005000 66256250 84808000 106010000 132512500 165640625 169616000 212020000 265025000 331281250 424040000 530050000 662562500 848080000 1060100000 1325125000 2120200000 2650250000 4240400000 5300500000 10601000000 21202000000