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1020200101056 = 26341491320791
BaseRepresentation
bin11101101100010001010…
…10100010010011000000
310121112022111110212210000
432312020222202103000
5113203332211213211
62100401244440000
7133464336530643
oct16661052422300
93545274425700
101020200101056
113637343a6894
1214587ab49000
1375287264766
1437541139a5a
151b80ed5b656
hexed88aa24c0

1020200101056 has 140 divisors (see below), whose sum is σ = 3044491599600. Its totient is φ = 337784117760.

The previous prime is 1020200101043. The next prime is 1020200101057. The reversal of 1020200101056 is 6501010020201.

It is a super-2 number, since 2×10202001010562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1020200101057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112021 + ... + 1432811.

Almost surely, 21020200101056 is an apocalyptic number.

1020200101056 is a gapful number since it is divisible by the number (16) 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 1020200101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522245799800).

1020200101056 is an abundant number, since it is smaller than the sum of its proper divisors (2024291498544).

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

1020200101056 is a wasteful number, since it uses less digits than its factorization.

1020200101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320964 (or 1320945 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 1020200101056 its reverse (6501010020201), we get a palindrome (7521210121257).

The spelling of 1020200101056 in words is "one trillion, twenty billion, two hundred million, one hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 149 162 192 216 288 298 324 432 447 576 596 648 864 894 1192 1296 1341 1728 1788 2384 2592 2682 3576 4023 4768 5184 5364 7152 8046 9536 10728 12069 14304 16092 21456 24138 28608 32184 42912 48276 64368 85824 96552 128736 193104 257472 386208 772416 1320791 2641582 3962373 5283164 7924746 10566328 11887119 15849492 21132656 23774238 31698984 35661357 42265312 47548476 63397968 71322714 84530624 95096952 106984071 126795936 142645428 190193904 196797859 213968142 253591872 285290856 380387808 393595718 427936284 570581712 590393577 760775616 787191436 855872568 1141163424 1180787154 1574382872 1711745136 1771180731 2282326848 2361574308 3148765744 3423490272 3542361462 4723148616 5313542193 6297531488 6846980544 7084722924 9446297232 10627084386 12595062976 14169445848 15940626579 18892594464 21254168772 28338891696 31881253158 37785188928 42508337544 56677783392 63762506316 85016675088 113355566784 127525012632 170033350176 255050025264 340066700352 510100050528 1020200101056