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1010131032020 = 2251133739734319
BaseRepresentation
bin11101011001100001000…
…00000101011111010100
310120120022202202011202012
432230300200011133110
5113022222021011040
62052014153403352
7132656663050355
oct16546040053724
93516282664665
101010131032020
1135a4376a7230
1214392aa09558
1374341173446
1436c67b57d2c
151b420da8865
hexeb308057d4

1010131032020 has 96 divisors (see below), whose sum is σ = 2326899294720. Its totient is φ = 365297264640.

The previous prime is 1010131032013. The next prime is 1010131032023. The reversal of 1010131032020 is 202301310101.

It is a junction number, because it is equal to n+sod(n) for n = 1010131031986 and 1010131032004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010131032023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29416421 + ... + 29450739.

It is an arithmetic number, because the mean of its divisors is an integer number (24238534320).

Almost surely, 21010131032020 is an apocalyptic number.

1010131032020 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 1010131032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163449647360).

1010131032020 is an abundant number, since it is smaller than the sum of its proper divisors (1316768262700).

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

1010131032020 is a wasteful number, since it uses less digits than its factorization.

1010131032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35073 (or 35071 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010131032020 its reverse (202301310101), we get a palindrome (1212432342121).

The spelling of 1010131032020 in words is "one trillion, ten billion, one hundred thirty-one million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 337 397 674 794 1348 1588 1685 1985 3370 3707 3970 4367 6740 7414 7940 8734 14828 17468 18535 21835 34319 37070 43670 68638 74140 87340 133789 137276 171595 267578 343190 377509 535156 668945 686380 755018 1337890 1471679 1510036 1887545 2675780 2943358 3775090 5886716 7358395 7550180 11565503 13624643 14716790 23131006 27249286 29433580 46262012 54498572 57827515 68123215 115655030 127220533 136246430 149871073 231310060 254441066 272492860 299742146 508882132 599484292 636102665 749355365 1272205330 1498710730 2544410660 2997421460 4591504691 9183009382 18366018764 22957523455 45915046910 50506551601 91830093820 101013103202 202026206404 252532758005 505065516010 1010131032020