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1020010010100 = 223523412999623
BaseRepresentation
bin11101101011111010101…
…01011001010111110100
310121111211020210021000020
432311331111121113310
5113202440030310400
62100330334245140
7133456541013624
oct16657525312764
93544736707006
101020010010100
11363647071724
121458273567b0
1375256a697c3
1437523bb6884
151b7ed30d2a0
hexed7d5595f4

1020010010100 has 72 divisors (see below), whose sum is σ = 2951345060160. Its totient is φ = 271991969280.

The previous prime is 1020010010057. The next prime is 1020010010113. The reversal of 1020010010100 is 10100100201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10188889 + ... + 10288511.

Almost surely, 21020010010100 is an apocalyptic number.

1020010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020010010100 is an abundant number, since it is smaller than the sum of its proper divisors (1931335050060).

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

1020010010100 is a wasteful number, since it uses less digits than its factorization.

1020010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133769 (or 133762 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1020010010100 its reverse (10100100201), we get a palindrome (1030110110301).

The spelling of 1020010010100 in words is "one trillion, twenty billion, ten million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 34129 68258 99623 102387 136516 170645 199246 204774 298869 341290 398492 409548 498115 511935 597738 682580 853225 996230 1023870 1195476 1494345 1706450 1992460 2047740 2490575 2559675 2988690 3412900 4981150 5119350 5977380 7471725 9962300 10238700 14943450 29886900 3400033367 6800066734 10200100101 13600133468 17000166835 20400200202 34000333670 40800400404 51000500505 68000667340 85000834175 102001001010 170001668350 204002002020 255002502525 340003336700 510005005050 1020010010100