Search a number
-
+
1002011120010 = 2325234111806423
BaseRepresentation
bin11101001010011001000…
…01000101000110001010
310112210100212200220111100
432211030201011012022
5112404104321320020
62044152331442230
7132251524663455
oct16451441050612
93483325626440
101002011120010
11356a5017814a
121422435b6376
1373648b37494
14366d759849c
151b0e80c3a90
hexe94c84518a

1002011120010 has 96 divisors (see below), whose sum is σ = 2784804841728. Its totient is φ = 249351632640.

The previous prime is 1002011119961. The next prime is 1002011120027. The reversal of 1002011120010 is 100211102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002011119974 and 1002011120001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5818342 + ... + 5988081.

It is an arithmetic number, because the mean of its divisors is an integer number (29008383768).

Almost surely, 21002011120010 is an apocalyptic number.

1002011120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002011120010 is an abundant number, since it is smaller than the sum of its proper divisors (1782793721718).

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

1002011120010 is a wasteful number, since it uses less digits than its factorization.

1002011120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806500 (or 11806497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002011120010 its reverse (100211102001), we get a palindrome (1102222222011).

The spelling of 1002011120010 in words is "one trillion, two billion, eleven million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 41 45 46 69 82 90 115 123 138 205 207 230 246 345 369 410 414 615 690 738 943 1035 1230 1845 1886 2070 2829 3690 4715 5658 8487 9430 14145 16974 28290 42435 84870 11806423 23612846 35419269 59032115 70838538 106257807 118064230 177096345 212515614 271547729 354192690 484063343 531289035 543095458 814643187 968126686 1062578070 1357738645 1452190029 1629286374 2420316715 2443929561 2715477290 2904380058 4073215935 4356570087 4840633430 4887859122 7260950145 8146431870 8713140174 11133456889 12219647805 14521900290 21782850435 22266913778 24439295610 33400370667 43565700870 55667284445 66800741334 100201112001 111334568890 167001853335 200402224002 334003706670 501005560005 1002011120010