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1000220012032 = 2917196790271
BaseRepresentation
bin11101000111000011100…
…00100010111000000000
310112121202001102012020211
432203201300202320000
5112341422310341112
62043254510043504
7132156245552353
oct16434160427000
93477661365224
101000220012032
1135621113721a
12141a237a9594
1373421a3b887
14365a775829a
151b040c250a7
hexe8e1c22e00

1000220012032 has 160 divisors (see below), whose sum is σ = 2260685306880. Its totient is φ = 439258152960.

The previous prime is 1000220011969. The next prime is 1000220012039. The reversal of 1000220012032 is 2302100220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000220012039) 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, 11035057 + ... + 11125327.

It is an arithmetic number, because the mean of its divisors is an integer number (14129283168).

Almost surely, 21000220012032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000220012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130342653440).

1000220012032 is an abundant number, since it is smaller than the sum of its proper divisors (1260465294848).

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

1000220012032 is an equidigital number, since it uses as much as digits as its factorization.

1000220012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90392 (or 90376 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1000220012032 its reverse (2302100220001), we get a palindrome (3302320232033).

The spelling of 1000220012032 in words is "one trillion, two hundred twenty million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 67 68 76 128 134 136 152 256 268 272 304 323 512 536 544 608 646 1072 1088 1139 1216 1273 1292 2144 2176 2278 2432 2546 2584 4288 4352 4556 4864 5092 5168 8576 8704 9112 9728 10184 10336 17152 18224 20368 20672 21641 34304 36448 40736 41344 43282 72896 81472 82688 86564 90271 145792 162944 165376 173128 180542 291584 325888 346256 361084 583168 651776 692512 722168 1385024 1444336 1534607 1715149 2770048 2888672 3069214 3430298 5540096 5777344 6048157 6138428 6860596 11080192 11554688 12096314 12276856 13721192 23109376 24192628 24553712 27442384 29157533 46218752 48385256 49107424 54884768 58315066 96770512 98214848 102818669 109769536 114914983 116630132 193541024 196429696 205637338 219539072 229829966 233260264 387082048 392859392 411274676 439078144 459659932 466520528 774164096 785718784 822549352 878156288 919319864 933041056 1548328192 1645098704 1838639728 1866082112 1953554711 3096656384 3290197408 3677279456 3732164224 3907109422 6580394816 7354558912 7464328448 7814218844 13160789632 14709117824 14928656896 15628437688 26321579264 29418235648 31256875376 52643158528 58836471296 62513750752 125027501504 250055003008 500110006016 1000220012032