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1220100211000 = 235311113981577
BaseRepresentation
bin10001110000010011101…
…000111100000100111000
311022122021212210121212201
4101300103220330010320
5124442231123223000
62332301205515544
7154102135451206
oct21602350740470
94278255717781
101220100211000
11430494841120
12178569112bb4
138b09397b198
14430a5c58076
1521b0e64d96a
hex11c13a3c138

1220100211000 has 128 divisors (see below), whose sum is σ = 3142148967360. Its totient is φ = 439746048000.

The previous prime is 1220100210977. The next prime is 1220100211019. The reversal of 1220100211000 is 1120010221.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 752212 + ... + 1733788.

Almost surely, 21220100211000 is an apocalyptic number.

1220100211000 is a gapful number since it is divisible by the number (10) 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 1220100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571074483680).

1220100211000 is an abundant number, since it is smaller than the sum of its proper divisors (1922048756360).

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

1220100211000 is a wasteful number, since it uses less digits than its factorization.

1220100211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981722 (or 981708 counting only the distinct ones).

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

Adding to 1220100211000 its reverse (1120010221), we get a palindrome (1221220221221).

The spelling of 1220100211000 in words is "one trillion, two hundred twenty billion, one hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 125 200 220 226 250 275 440 452 500 550 565 904 1000 1100 1130 1243 1375 2200 2260 2486 2750 2825 4520 4972 5500 5650 6215 9944 11000 11300 12430 14125 22600 24860 28250 31075 49720 56500 62150 113000 124300 155375 248600 310750 621500 981577 1243000 1963154 3926308 4907885 7852616 9815770 10797347 19631540 21594694 24539425 39263080 43189388 49078850 53986735 86378776 98157700 107973470 110918201 122697125 196315400 215946940 221836402 245394250 269933675 431893880 443672804 490788500 539867350 554591005 887345608 981577000 1079734700 1109182010 1220100211 1349668375 2159469400 2218364020 2440200422 2699336750 2772955025 4436728040 4880400844 5398673500 5545910050 6100501055 9760801688 10797347000 11091820100 12201002110 13864775125 22183640200 24402004220 27729550250 30502505275 48804008440 55459100500 61005010550 110918201000 122010021100 152512526375 244020042200 305025052750 610050105500 1220100211000