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1012021202100 = 2235224124775651
BaseRepresentation
bin11101011101000010010…
…10100000110010110100
310120202012111102202122110
432232201022200302310
5113040104411431400
62052525514331020
7133054554166326
oct16564112406264
93522174382573
101012021202100
11360217648a67
12144177a29a70
137458294498c
1436da6bc3616
151b4d1cc3e50
hexeba12a0cb4

1012021202100 has 144 divisors (see below), whose sum is σ = 2941972076736. Its totient is φ = 268596480000.

The previous prime is 1012021202069. The next prime is 1012021202107. The reversal of 1012021202100 is 12021202101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012021202107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179084275 + ... + 179089925.

It is an arithmetic number, because the mean of its divisors is an integer number (20430361644).

Almost surely, 21012021202100 is an apocalyptic number.

1012021202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012021202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470986038368).

1012021202100 is an abundant number, since it is smaller than the sum of its proper divisors (1929950874636).

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

1012021202100 is a wasteful number, since it uses less digits than its factorization.

1012021202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386 (or 8379 counting only the distinct ones).

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

Adding to 1012021202100 its reverse (12021202101), we get a palindrome (1024042404201).

Subtracting from 1012021202100 its reverse (12021202101), we obtain a palindrome (999999999999).

It can be divided in two parts, 1012021 and 202100, that added together give a palindrome (1214121).

The spelling of 1012021202100 in words is "one trillion, twelve billion, twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 482 723 964 1205 1446 2410 2477 2892 3615 4820 4954 5651 6025 7230 7431 9908 11302 12050 12385 14460 14862 16953 18075 22604 24100 24770 28255 29724 33906 36150 37155 49540 56510 61925 67812 72300 74310 84765 113020 123850 141275 148620 169530 185775 247700 282550 339060 371550 423825 565100 596957 743100 847650 1193914 1361891 1695300 1790871 2387828 2723782 2984785 3581742 4085673 5447564 5969570 6809455 7163484 8171346 8954355 11939140 13618910 13997527 14923925 16342692 17908710 20428365 27237820 27995054 29847850 34047275 35817420 40856730 41992581 44771775 55990108 59695700 68094550 69987635 81713460 83985162 89543550 102141825 136189100 139975270 167970324 179087100 204283650 209962905 279950540 349938175 408567300 419925810 699876350 839851620 1049814525 1399752700 2099629050 3373404007 4199258100 6746808014 10120212021 13493616028 16867020035 20240424042 33734040070 40480848084 50601060105 67468080140 84335100175 101202120210 168670200350 202404240420 253005300525 337340400700 506010601050 1012021202100