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1220100312100 = 2252195571152887
BaseRepresentation
bin10001110000010011101…
…001010100110000100100
311022122021212222202120011
4101300103221110300210
5124442231134441400
62332301212020004
7154102136352025
oct21602351246044
94278255882504
101220100312100
1143049490007a
12178569161604
138b0939b51c7
14430a5c82c4c
1521b0e66d8ba
hex11c13a54c24

1220100312100 has 72 divisors (see below), whose sum is σ = 2791971927360. Its totient is φ = 461523323520.

The previous prime is 1220100312097. The next prime is 1220100312127. The reversal of 1220100312100 is 12130010221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481857 + ... + 1634743.

It is an arithmetic number, because the mean of its divisors is an integer number (38777387880).

Almost surely, 21220100312100 is an apocalyptic number.

1220100312100 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 1220100312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395985963680).

1220100312100 is an abundant number, since it is smaller than the sum of its proper divisors (1571871615260).

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

1220100312100 is a wasteful number, since it uses less digits than its factorization.

1220100312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153477 (or 1153470 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1220100312100 its reverse (12130010221), we get a palindrome (1232230322321).

The spelling of 1220100312100 in words is "one trillion, two hundred twenty billion, one hundred million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 557 950 1114 1900 2228 2785 5570 10583 11140 13925 21166 27850 42332 52915 55700 105830 211660 264575 529150 1058300 1152887 2305774 4611548 5764435 11528870 21904853 23057740 28822175 43809706 57644350 87619412 109524265 115288700 219048530 438097060 547621325 642158059 1095242650 1284316118 2190485300 2568632236 3210790295 6421580590 12201003121 12843161180 16053951475 24402006242 32107902950 48804012484 61005015605 64215805900 122010031210 244020062420 305025078025 610050156050 1220100312100