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200101211220 = 223543577134417
BaseRepresentation
bin1011101001011011110…
…1100010110001010100
3201010111101201202012010
42322112331202301110
511234301402224340
6231531503224220
720312460142311
oct2722675426124
9633441652163
10200101211220
1177953a0a739
12329455a8070
1315b3c298081
149983709d08
1553122b7b80
hex2e96f62c54

200101211220 has 96 divisors (see below), whose sum is σ = 574311120768. Its totient is φ = 52028669952.

The previous prime is 200101211173. The next prime is 200101211257. The reversal of 200101211220 is 22112101002.

It is a super-2 number, since 2×2001012112202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 200101211196 and 200101211205.

It is a congruent number.

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, 1421452 + ... + 1555868.

It is an arithmetic number, because the mean of its divisors is an integer number (5982407508).

Almost surely, 2200101211220 is an apocalyptic number.

200101211220 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 200101211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287155560384).

200101211220 is an abundant number, since it is smaller than the sum of its proper divisors (374209909548).

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

200101211220 is a wasteful number, since it uses less digits than its factorization.

200101211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135049 (or 135047 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200101211220 its reverse (22112101002), we get a palindrome (222213312222).

The spelling of 200101211220 in words is "two hundred billion, one hundred one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 577 645 860 1154 1290 1731 2308 2580 2885 3462 5770 6924 8655 11540 17310 24811 34620 49622 74433 99244 124055 134417 148866 248110 268834 297732 372165 403251 496220 537668 672085 744330 806502 1344170 1488660 1613004 2016255 2688340 4032510 5779931 8065020 11559862 17339793 23119724 28899655 34679586 57799310 69359172 77558609 86698965 115598620 155117218 173397930 232675827 310234436 346795860 387793045 465351654 775586090 930703308 1163379135 1551172180 2326758270 3335020187 4653516540 6670040374 10005060561 13340080748 16675100935 20010121122 33350201870 40020242244 50025302805 66700403740 100050605610 200101211220