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211210022012100 = 223523719027929911
BaseRepresentation
bin110000000001100000101010…
…010101011100010011000100
31000200211110222120202101102120
4300001200222111130103010
5210140431111113341400
62025112313345405540
762326264145246256
oct6001405225342304
91020743876671376
10211210022012100
1161330738212491
121b831b010398b0
1390b1034128777
143a228962cdcd6
1519640cd977ca0
hexc0182a55c4c4

211210022012100 has 72 divisors (see below), whose sum is σ = 627617240217408. Its totient is φ = 54800438140800.

The previous prime is 211210022012051. The next prime is 211210022012117. The reversal of 211210022012100 is 1210220012112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211210022012100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9513953856 + ... + 9513976055.

Almost surely, 2211210022012100 is an apocalyptic number.

211210022012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210022012100 is an abundant number, since it is smaller than the sum of its proper divisors (416407218205308).

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

211210022012100 is a wasteful number, since it uses less digits than its factorization.

211210022012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19027929965 (or 19027929958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211210022012100 its reverse (1210220012112), we get a palindrome (212420242024212).

The spelling of 211210022012100 in words is "two hundred eleven trillion, two hundred ten billion, twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 19027929911 38055859822 57083789733 76111719644 95139649555 114167579466 190279299110 228335158932 285418948665 380558598220 475698247775 570837897330 704033406707 951396495550 1141675794660 1408066813414 1427094743325 1902792991100 2112100220121 2816133626828 2854189486650 3520167033535 4224200440242 5708378973300 7040334067070 8448400880484 10560501100605 14080668134140 17600835167675 21121002201210 35201670335350 42242004402420 52802505503025 70403340670700 105605011006050 211210022012100