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2120202001020 = 22355310127124359
BaseRepresentation
bin11110110110100101111…
…000110001101001111100
321111200121112010011202210
4132312211320301221330
5234214133203013040
64302001331020420
7306115403440515
oct36664570615174
97450545104683
102120202001020
117481998352a4
122a2aab43a710
13124c1b55676c
1474892979a0c
153a240a85480
hex1eda5e31a7c

2120202001020 has 192 divisors, whose sum is σ = 6131255316480. Its totient is φ = 547178112000.

The previous prime is 2120202001013. The next prime is 2120202001051. The reversal of 2120202001020 is 201002020212.

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 = 2120202000987 and 2120202001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87027601 + ... + 87051959.

It is an arithmetic number, because the mean of its divisors is an integer number (31933621440).

Almost surely, 22120202001020 is an apocalyptic number.

2120202001020 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 2120202001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065627658240).

2120202001020 is an abundant number, since it is smaller than the sum of its proper divisors (4011053315460).

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

2120202001020 is a wasteful number, since it uses less digits than its factorization.

2120202001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24796 (or 24794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2120202001020 its reverse (201002020212), we get a palindrome (2321204021232).

The spelling of 2120202001020 in words is "two trillion, one hundred twenty billion, two hundred two million, one thousand, twenty".