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1022110001948 = 227734011247017
BaseRepresentation
bin11101101111110101000…
…00001110101100011100
310121201020121021220021002
432313322200032230130
5113221240130030243
62101314552325432
7133562560445060
oct16677240165434
93551217256232
101022110001948
113645244a4682
121461126a3878
13754ccb53a29
1437682a5daa0
151b8c2872eb8
hexedfa80eb1c

1022110001948 has 48 divisors (see below), whose sum is σ = 2077392321984. Its totient is φ = 430968729600.

The previous prime is 1022110001947. The next prime is 1022110002037. The reversal of 1022110001948 is 8491000112201.

It is a self number, because there is not a number n which added to its sum of digits gives 1022110001948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022110001947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196136 + ... + 1443152.

It is an arithmetic number, because the mean of its divisors is an integer number (43279006708).

Almost surely, 21022110001948 is an apocalyptic number.

It is an amenable number.

1022110001948 is an abundant number, since it is smaller than the sum of its proper divisors (1055282320036).

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

1022110001948 is a wasteful number, since it uses less digits than its factorization.

1022110001948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247502 (or 1247500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 1022110001948 in words is "one trillion, twenty-two billion, one hundred ten million, one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 73 146 292 401 511 802 1022 1604 2044 2807 5614 11228 29273 58546 117092 204911 409822 819644 1247017 2494034 4988068 8729119 17458238 34916476 91032241 182064482 364128964 500053817 637225687 1000107634 1274451374 2000215268 2548902748 3500376719 7000753438 14001506876 36503928641 73007857282 146015714564 255527500487 511055000974 1022110001948