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1002021211020 = 223540949407833
BaseRepresentation
bin11101001010011010001…
…11100100101110001100
310112210101120200120202110
432211031013210232030
5112404114412223040
62044153332024020
7132252006522354
oct16451507445614
93483346616673
101002021211020
11356a5593a725
12142246a62010
137364ac5b5ab
14366d8a63b64
151b0e8e18980
hexe94d1e4b8c

1002021211020 has 48 divisors (see below), whose sum is σ = 2805734786400. Its totient is φ = 267198475776.

The previous prime is 1002021210997. The next prime is 1002021211031. The reversal of 1002021211020 is 201121202001.

1002021211020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 1002021210987 and 1002021211005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2253024 + ... + 2660856.

It is an arithmetic number, because the mean of its divisors is an integer number (58452808050).

Almost surely, 21002021211020 is an apocalyptic number.

1002021211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002021211020 is an abundant number, since it is smaller than the sum of its proper divisors (1803713575380).

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

1002021211020 is a wasteful number, since it uses less digits than its factorization.

1002021211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448794 (or 448792 counting only the distinct ones).

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

Adding to 1002021211020 its reverse (201121202001), we get a palindrome (1203142413021).

The spelling of 1002021211020 in words is "one trillion, two billion, twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40949 81898 122847 163796 204745 245694 407833 409490 491388 614235 815666 818980 1223499 1228470 1631332 2039165 2446998 2456940 4078330 4893996 6117495 8156660 12234990 24469980 16700353517 33400707034 50101060551 66801414068 83501767585 100202121102 167003535170 200404242204 250505302755 334007070340 501010605510 1002021211020